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Standardderivator

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cobbe's version from 2016-08-18 14:30

Section

Question Answer
(x^r)'rx^(r-1)
(e^r)'e^r
(ln(x))'1/x
(sin(x))'cos(x)
(cos(x))'-sin(x)
memorize

 

Question Answer
(arcsin(x))'1/sqrt(1-x^2)
(arccos(x))'-1/sqrt(1-x^2)
(arctan(x))'1/(1+x^2)
memorize

 

Question Answer
f'(x) * g'(x) = (f(x) * g(x))'f'(x) * g(x) + f(x) * g'(x)
f'(x) / g'(x) = (f(x) / g(x))'(f'(x) * g(x) - f(x) * g'(x)) / g(x)^2
f'(g(x))f'(g(x)) * g'(x)
memorize

 

Question Answer
(tan(x))'1/cos^2(x) = tan^2(x) + 1
(a^x)'a^x * ln(a)
memorize

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