Numerical Methods - 3.4 Differentiation

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DLMF Formula Constraints Maple Mathematica Symbolic
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3.4#Ex1 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-1}^{3} = -\tfrac{1}{6}(2-6t+3t^{2})}
B_{-1}^{3} = -\tfrac{1}{6}(2-6t+3t^{2})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 1])^(3) = -(1)/(6)*(2 - 6*t + 3*(t)^(2))
(Subscript[B, - 1])^(3) == -Divide[1,6]*(2 - 6*t + 3*(t)^(2))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex2 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{0}^{3} = -\tfrac{1}{2}(1+4t-3t^{2})}
B_{0}^{3} = -\tfrac{1}{2}(1+4t-3t^{2})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[0])^(3) = -(1)/(2)*(1 + 4*t - 3*(t)^(2))
(Subscript[B, 0])^(3) == -Divide[1,2]*(1 + 4*t - 3*(t)^(2))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex3 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{1}^{3} = \tfrac{1}{2}(2+2t-3t^{2})}
B_{1}^{3} = \tfrac{1}{2}(2+2t-3t^{2})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[1])^(3) = (1)/(2)*(2 + 2*t - 3*(t)^(2))
(Subscript[B, 1])^(3) == Divide[1,2]*(2 + 2*t - 3*(t)^(2))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex4 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{2}^{3} = -\tfrac{1}{6}(1-3t^{2})}
B_{2}^{3} = -\tfrac{1}{6}(1-3t^{2})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[2])^(3) = -(1)/(6)*(1 - 3*(t)^(2))
(Subscript[B, 2])^(3) == -Divide[1,6]*(1 - 3*(t)^(2))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex5 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-2}^{4} = \tfrac{1}{12}(1-t-3t^{2}+2t^{3})}
B_{-2}^{4} = \tfrac{1}{12}(1-t-3t^{2}+2t^{3})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 2])^(4) = (1)/(12)*(1 - t - 3*(t)^(2)+ 2*(t)^(3))
(Subscript[B, - 2])^(4) == Divide[1,12]*(1 - t - 3*(t)^(2)+ 2*(t)^(3))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex6 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-1}^{4} = -\tfrac{1}{6}(4-8t-3t^{2}+4t^{3})}
B_{-1}^{4} = -\tfrac{1}{6}(4-8t-3t^{2}+4t^{3})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 1])^(4) = -(1)/(6)*(4 - 8*t - 3*(t)^(2)+ 4*(t)^(3))
(Subscript[B, - 1])^(4) == -Divide[1,6]*(4 - 8*t - 3*(t)^(2)+ 4*(t)^(3))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex7 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{0}^{4} = -\tfrac{1}{2}t(5-2t^{2})}
B_{0}^{4} = -\tfrac{1}{2}t(5-2t^{2})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[0])^(4) = -(1)/(2)*t*(5 - 2*(t)^(2))
(Subscript[B, 0])^(4) == -Divide[1,2]*t*(5 - 2*(t)^(2))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex8 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{1}^{4} = \tfrac{1}{6}(4+8t-3t^{2}-4t^{3})}
B_{1}^{4} = \tfrac{1}{6}(4+8t-3t^{2}-4t^{3})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[1])^(4) = (1)/(6)*(4 + 8*t - 3*(t)^(2)- 4*(t)^(3))
(Subscript[B, 1])^(4) == Divide[1,6]*(4 + 8*t - 3*(t)^(2)- 4*(t)^(3))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex9 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{2}^{4} = -\tfrac{1}{12}(1+t-3t^{2}-2t^{3})}
B_{2}^{4} = -\tfrac{1}{12}(1+t-3t^{2}-2t^{3})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[2])^(4) = -(1)/(12)*(1 + t - 3*(t)^(2)- 2*(t)^(3))
(Subscript[B, 2])^(4) == -Divide[1,12]*(1 + t - 3*(t)^(2)- 2*(t)^(3))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex10 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-2}^{5} = \tfrac{1}{120}(6-10t-15t^{2}+20t^{3}-5t^{4})}
B_{-2}^{5} = \tfrac{1}{120}(6-10t-15t^{2}+20t^{3}-5t^{4})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 2])^(5) = (1)/(120)*(6 - 10*t - 15*(t)^(2)+ 20*(t)^(3)- 5*(t)^(4))
(Subscript[B, - 2])^(5) == Divide[1,120]*(6 - 10*t - 15*(t)^(2)+ 20*(t)^(3)- 5*(t)^(4))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex11 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-1}^{5} = -\tfrac{1}{24}(12-32t+3t^{2}+16t^{3}-5t^{4})}
B_{-1}^{5} = -\tfrac{1}{24}(12-32t+3t^{2}+16t^{3}-5t^{4})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 1])^(5) = -(1)/(24)*(12 - 32*t + 3*(t)^(2)+ 16*(t)^(3)- 5*(t)^(4))
(Subscript[B, - 1])^(5) == -Divide[1,24]*(12 - 32*t + 3*(t)^(2)+ 16*(t)^(3)- 5*(t)^(4))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex12 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{0}^{5} = -\tfrac{1}{12}(4+30t-15t^{2}-12t^{3}+5t^{4})}
B_{0}^{5} = -\tfrac{1}{12}(4+30t-15t^{2}-12t^{3}+5t^{4})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[0])^(5) = -(1)/(12)*(4 + 30*t - 15*(t)^(2)- 12*(t)^(3)+ 5*(t)^(4))
(Subscript[B, 0])^(5) == -Divide[1,12]*(4 + 30*t - 15*(t)^(2)- 12*(t)^(3)+ 5*(t)^(4))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex13 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{1}^{5} = \tfrac{1}{12}(12+16t-21t^{2}-8t^{3}+5t^{4})}
B_{1}^{5} = \tfrac{1}{12}(12+16t-21t^{2}-8t^{3}+5t^{4})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[1])^(5) = (1)/(12)*(12 + 16*t - 21*(t)^(2)- 8*(t)^(3)+ 5*(t)^(4))
(Subscript[B, 1])^(5) == Divide[1,12]*(12 + 16*t - 21*(t)^(2)- 8*(t)^(3)+ 5*(t)^(4))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex14 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{2}^{5} = -\tfrac{1}{24}(6+2t-21t^{2}-4t^{3}+5t^{4})}
B_{2}^{5} = -\tfrac{1}{24}(6+2t-21t^{2}-4t^{3}+5t^{4})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[2])^(5) = -(1)/(24)*(6 + 2*t - 21*(t)^(2)- 4*(t)^(3)+ 5*(t)^(4))
(Subscript[B, 2])^(5) == -Divide[1,24]*(6 + 2*t - 21*(t)^(2)- 4*(t)^(3)+ 5*(t)^(4))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex15 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{3}^{5} = \tfrac{1}{120}(4-15t^{2}+5t^{4})}
B_{3}^{5} = \tfrac{1}{120}(4-15t^{2}+5t^{4})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[3])^(5) = (1)/(120)*(4 - 15*(t)^(2)+ 5*(t)^(4))
(Subscript[B, 3])^(5) == Divide[1,120]*(4 - 15*(t)^(2)+ 5*(t)^(4))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex16 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-3}^{6} = -\tfrac{1}{720}(12-8t-45t^{2}+20t^{3}+15t^{4}-6t^{5})}
B_{-3}^{6} = -\tfrac{1}{720}(12-8t-45t^{2}+20t^{3}+15t^{4}-6t^{5})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 3])^(6) = -(1)/(720)*(12 - 8*t - 45*(t)^(2)+ 20*(t)^(3)+ 15*(t)^(4)- 6*(t)^(5))
(Subscript[B, - 3])^(6) == -Divide[1,720]*(12 - 8*t - 45*(t)^(2)+ 20*(t)^(3)+ 15*(t)^(4)- 6*(t)^(5))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex17 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-2}^{6} = \tfrac{1}{60}(9-9t-30t^{2}+20t^{3}+5t^{4}-3t^{5})}
B_{-2}^{6} = \tfrac{1}{60}(9-9t-30t^{2}+20t^{3}+5t^{4}-3t^{5})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 2])^(6) = (1)/(60)*(9 - 9*t - 30*(t)^(2)+ 20*(t)^(3)+ 5*(t)^(4)- 3*(t)^(5))
(Subscript[B, - 2])^(6) == Divide[1,60]*(9 - 9*t - 30*(t)^(2)+ 20*(t)^(3)+ 5*(t)^(4)- 3*(t)^(5))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex18 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-1}^{6} = -\tfrac{1}{48}(36-72t-39t^{2}+52t^{3}+5t^{4}-6t^{5})}
B_{-1}^{6} = -\tfrac{1}{48}(36-72t-39t^{2}+52t^{3}+5t^{4}-6t^{5})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 1])^(6) = -(1)/(48)*(36 - 72*t - 39*(t)^(2)+ 52*(t)^(3)+ 5*(t)^(4)- 6*(t)^(5))
(Subscript[B, - 1])^(6) == -Divide[1,48]*(36 - 72*t - 39*(t)^(2)+ 52*(t)^(3)+ 5*(t)^(4)- 6*(t)^(5))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{0}^{6} = -\tfrac{1}{18}t(49-28t^{2}+3t^{4})}
B_{0}^{6} = -\tfrac{1}{18}t(49-28t^{2}+3t^{4})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[0])^(6) = -(1)/(18)*t*(49 - 28*(t)^(2)+ 3*(t)^(4))
(Subscript[B, 0])^(6) == -Divide[1,18]*t*(49 - 28*(t)^(2)+ 3*(t)^(4))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex20 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{1}^{6} = \tfrac{1}{48}(36+72t-39t^{2}-52t^{3}+5t^{4}+6t^{5})}
B_{1}^{6} = \tfrac{1}{48}(36+72t-39t^{2}-52t^{3}+5t^{4}+6t^{5})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[1])^(6) = (1)/(48)*(36 + 72*t - 39*(t)^(2)- 52*(t)^(3)+ 5*(t)^(4)+ 6*(t)^(5))
(Subscript[B, 1])^(6) == Divide[1,48]*(36 + 72*t - 39*(t)^(2)- 52*(t)^(3)+ 5*(t)^(4)+ 6*(t)^(5))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex21 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{2}^{6} = -\tfrac{1}{60}(9+9t-30t^{2}-20t^{3}+5t^{4}+3t^{5})}
B_{2}^{6} = -\tfrac{1}{60}(9+9t-30t^{2}-20t^{3}+5t^{4}+3t^{5})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[2])^(6) = -(1)/(60)*(9 + 9*t - 30*(t)^(2)- 20*(t)^(3)+ 5*(t)^(4)+ 3*(t)^(5))
(Subscript[B, 2])^(6) == -Divide[1,60]*(9 + 9*t - 30*(t)^(2)- 20*(t)^(3)+ 5*(t)^(4)+ 3*(t)^(5))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex22 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{3}^{6} = \tfrac{1}{720}(12+8t-45t^{2}-20t^{3}+15t^{4}+6t^{5})}
B_{3}^{6} = \tfrac{1}{720}(12+8t-45t^{2}-20t^{3}+15t^{4}+6t^{5})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[3])^(6) = (1)/(720)*(12 + 8*t - 45*(t)^(2)- 20*(t)^(3)+ 15*(t)^(4)+ 6*(t)^(5))
(Subscript[B, 3])^(6) == Divide[1,720]*(12 + 8*t - 45*(t)^(2)- 20*(t)^(3)+ 15*(t)^(4)+ 6*(t)^(5))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex23 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-3}^{7} = -\tfrac{1}{5040}(48-56t-168t^{2}+140t^{3}+35t^{4}-42t^{5}+7t^{6})}
B_{-3}^{7} = -\tfrac{1}{5040}(48-56t-168t^{2}+140t^{3}+35t^{4}-42t^{5}+7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 3])^(7) = -(1)/(5040)*(48 - 56*t - 168*(t)^(2)+ 140*(t)^(3)+ 35*(t)^(4)- 42*(t)^(5)+ 7*(t)^(6))
(Subscript[B, - 3])^(7) == -Divide[1,5040]*(48 - 56*t - 168*(t)^(2)+ 140*(t)^(3)+ 35*(t)^(4)- 42*(t)^(5)+ 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex24 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-2}^{7} = \tfrac{1}{720}(72-108t-213t^{2}+240t^{3}-10t^{4}-36t^{5}+7t^{6})}
B_{-2}^{7} = \tfrac{1}{720}(72-108t-213t^{2}+240t^{3}-10t^{4}-36t^{5}+7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 2])^(7) = (1)/(720)*(72 - 108*t - 213*(t)^(2)+ 240*(t)^(3)- 10*(t)^(4)- 36*(t)^(5)+ 7*(t)^(6))
(Subscript[B, - 2])^(7) == Divide[1,720]*(72 - 108*t - 213*(t)^(2)+ 240*(t)^(3)- 10*(t)^(4)- 36*(t)^(5)+ 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex25 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{-1}^{7} = -\tfrac{1}{240}(144-360t-48t^{2}+260t^{3}-45t^{4}-30t^{5}+7t^{6})}
B_{-1}^{7} = -\tfrac{1}{240}(144-360t-48t^{2}+260t^{3}-45t^{4}-30t^{5}+7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[- 1])^(7) = -(1)/(240)*(144 - 360*t - 48*(t)^(2)+ 260*(t)^(3)- 45*(t)^(4)- 30*(t)^(5)+ 7*(t)^(6))
(Subscript[B, - 1])^(7) == -Divide[1,240]*(144 - 360*t - 48*(t)^(2)+ 260*(t)^(3)- 45*(t)^(4)- 30*(t)^(5)+ 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex26 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{0}^{7} = -\tfrac{1}{144}(36+392t-147t^{2}-224t^{3}+70t^{4}+24t^{5}-7t^{6})}
B_{0}^{7} = -\tfrac{1}{144}(36+392t-147t^{2}-224t^{3}+70t^{4}+24t^{5}-7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[0])^(7) = -(1)/(144)*(36 + 392*t - 147*(t)^(2)- 224*(t)^(3)+ 70*(t)^(4)+ 24*(t)^(5)- 7*(t)^(6))
(Subscript[B, 0])^(7) == -Divide[1,144]*(36 + 392*t - 147*(t)^(2)- 224*(t)^(3)+ 70*(t)^(4)+ 24*(t)^(5)- 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex27 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{1}^{7} = \tfrac{1}{144}(144+216t-264t^{2}-156t^{3}+85t^{4}+18t^{5}-7t^{6})}
B_{1}^{7} = \tfrac{1}{144}(144+216t-264t^{2}-156t^{3}+85t^{4}+18t^{5}-7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[1])^(7) = (1)/(144)*(144 + 216*t - 264*(t)^(2)- 156*(t)^(3)+ 85*(t)^(4)+ 18*(t)^(5)- 7*(t)^(6))
(Subscript[B, 1])^(7) == Divide[1,144]*(144 + 216*t - 264*(t)^(2)- 156*(t)^(3)+ 85*(t)^(4)+ 18*(t)^(5)- 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex28 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{2}^{7} = -\tfrac{1}{240}(72+36t-267t^{2}-80t^{3}+90t^{4}+12t^{5}-7t^{6})}
B_{2}^{7} = -\tfrac{1}{240}(72+36t-267t^{2}-80t^{3}+90t^{4}+12t^{5}-7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[2])^(7) = -(1)/(240)*(72 + 36*t - 267*(t)^(2)- 80*(t)^(3)+ 90*(t)^(4)+ 12*(t)^(5)- 7*(t)^(6))
(Subscript[B, 2])^(7) == -Divide[1,240]*(72 + 36*t - 267*(t)^(2)- 80*(t)^(3)+ 90*(t)^(4)+ 12*(t)^(5)- 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex29 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{3}^{7} = \tfrac{1}{720}(48+8t-192t^{2}-20t^{3}+85t^{4}+6t^{5}-7t^{6})}
B_{3}^{7} = \tfrac{1}{720}(48+8t-192t^{2}-20t^{3}+85t^{4}+6t^{5}-7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[3])^(7) = (1)/(720)*(48 + 8*t - 192*(t)^(2)- 20*(t)^(3)+ 85*(t)^(4)+ 6*(t)^(5)- 7*(t)^(6))
(Subscript[B, 3])^(7) == Divide[1,720]*(48 + 8*t - 192*(t)^(2)- 20*(t)^(3)+ 85*(t)^(4)+ 6*(t)^(5)- 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4#Ex30 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{4}^{7} = -\tfrac{1}{5040}(36-147t^{2}+70t^{4}-7t^{6})}
B_{4}^{7} = -\tfrac{1}{5040}(36-147t^{2}+70t^{4}-7t^{6})
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(B[4])^(7) = -(1)/(5040)*(36 - 147*(t)^(2)+ 70*(t)^(4)- 7*(t)^(6))
(Subscript[B, 4])^(7) == -Divide[1,5040]*(36 - 147*(t)^(2)+ 70*(t)^(4)- 7*(t)^(6))
Skipped - no semantic math Skipped - no semantic math - -
3.4.E19 Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{k!} = \frac{1}{2\cpi r^{k}}\int_{0}^{2\cpi}e^{r\cos@@{\theta}}\cos@{r\sin@@{\theta}-k\theta}\diff{\theta}}
\frac{1}{k!} = \frac{1}{2\cpi r^{k}}\int_{0}^{2\cpi}e^{r\cos@@{\theta}}\cos@{r\sin@@{\theta}-k\theta}\diff{\theta}
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }
(1)/(factorial(k)) = (1)/(2*Pi*(r)^(k))*int(exp(r*cos(theta))*cos(r*sin(theta)- k*theta), theta = 0..2*Pi)
Divide[1,(k)!] == Divide[1,2*Pi*(r)^(k)]*Integrate[Exp[r*Cos[\[Theta]]]*Cos[r*Sin[\[Theta]]- k*\[Theta]], {\[Theta], 0, 2*Pi}, GenerateConditions->None]
Failure Aborted
Failed [18 / 18]
Result: 1.
Test Values: {r = -1.5, k = 1}

Result: .5000000000
Test Values: {r = -1.5, k = 2}

Result: .1666666667
Test Values: {r = -1.5, k = 3}

Result: 1.
Test Values: {r = 1.5, k = 1}

... skip entries to safe data
Skipped - Because timed out