4.7

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
4.7.E1	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\ln@@{z} = \frac{1}{z}} \deriv{}{z}\ln@@{z} = \frac{1}{z}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	diff(ln(z), z) = (1)/(z)	D[Log[z], z] == Divide[1,z]	Successful	Successful	-	Successful [Tested: 7]
4.7.E2	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}\Ln@@{z} = \frac{1}{z}} \deriv{}{z}\Ln@@{z} = \frac{1}{z}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	diff(ln(z), z) = (1)/(z)	D[Log[z], z] == Divide[1,z]	Successful	Successful	-	Successful [Tested: 7]
4.7.E3	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}} \deriv[n]{}{z}\ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	diff(ln(z), [z$(n)]) = (- 1)^(n - 1)*factorial(n - 1)*(z)^(- n)	D[Log[z], {z, n}] == (- 1)^(n - 1)*(n - 1)!*(z)^(- n)	Failure	Failure	Successful [Tested: 21]	Successful [Tested: 21]
4.7.E4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[n]{}{z}\Ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}} \deriv[n]{}{z}\Ln@@{z} = (-1)^{n-1}(n-1)!z^{-n}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	diff(ln(z), [z$(n)]) = (- 1)^(n - 1)*factorial(n - 1)*(z)^(- n)	D[Log[z], {z, n}] == (- 1)^(n - 1)*(n - 1)!*(z)^(- n)	Failure	Failure	Successful [Tested: 21]	Successful [Tested: 21]
4.7.E7	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}e^{z} = e^{z}} \deriv{}{z}e^{z} = e^{z}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	diff(exp(z), z) = exp(z)	D[Exp[z], z] == Exp[z]	Successful	Successful	-	Successful [Tested: 7]
4.7.E8	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}e^{az} = ae^{az}} \deriv{}{z}e^{az} = ae^{az}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	diff(exp(a*z), z) = a*exp(a*z)	D[Exp[a*z], z] == a*Exp[a*z]	Successful	Successful	-	Successful [Tested: 42]
4.7.E9	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}a^{z} = a^{z}\ln@@{a}} \deriv{}{z}a^{z} = a^{z}\ln@@{a}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \neq 0}	diff((a)^(z), z) = (a)^(z)* ln(a)	D[(a)^(z), z] == (a)^(z)* Log[a]	Successful	Successful	-	Successful [Tested: 42]
4.7.E10	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{}{z}z^{a} = az^{a-1}} \deriv{}{z}z^{a} = az^{a-1}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	diff((z)^(a), z) = a*(z)^(a - 1)	D[(z)^(a), z] == a*(z)^(a - 1)	Successful	Successful	-	Successful [Tested: 42]
4.7.E14	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv[2]{w}{z} = aw} \deriv[2]{w}{z} = aw	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a \neq 0}	diff(w, [z$(2)]) = a*w	D[w, {z, 2}] == a*w	Failure	Failure	Failed [300 / 300] Result: 1.299038106+.7500000000*I Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2*3^(1/2)+1/2*I} Result: 1.299038106+.7500000000*I Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2+1/2*I*3^(1/2)} Result: 1.299038106+.7500000000*I Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = 1/2-1/2*I*3^(1/2)} Result: 1.299038106+.7500000000*I Test Values: {a = -1.5, w = 1/2*3^(1/2)+1/2*I, z = -1/2*3^(1/2)-1/2*I} ... skip entries to safe data	Failed [300 / 300] Result: Complex[1.299038105676658, 0.7499999999999999] Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]]} Result: Complex[1.299038105676658, 0.7499999999999999] Test Values: {Rule[a, -1.5], Rule[w, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[z, Power[E, Times[Complex[0, Rational[2, 3]], Pi]]]} ... skip entries to safe data
4.7.E15	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle w = Ae^{\sqrt{a}z}+Be^{-\sqrt{a}z}} w = Ae^{\sqrt{a}z}+Be^{-\sqrt{a}z}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	w = A*exp(sqrt(a)*z)+ B*exp(-sqrt(a)*z)	w == A*Exp[Sqrt[a]*z]+ B*Exp[-Sqrt[a]*z]	Skipped - no semantic math	Skipped - no semantic math	-	-