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Mathematics 21 Online
OpenStudy (anonymous):

Calc help, (tan(X/2)^(-1)) - 1/(2(x^(2)+4))

OpenStudy (anonymous):

finding derivative please help with steps

OpenStudy (anonymous):

you mean, (arctan(x/2) - 1)/(2(x^2 +4))

OpenStudy (istim):

Just remember, this is only complex calculus using simple rules.

OpenStudy (anonymous):

um yes arctan but the -1 is part of the x^(2)+4

OpenStudy (klimenkov):

\((\tan \frac x 2)^{-1}-\frac{1}{2(x^2+4)}\)

OpenStudy (anonymous):

^correct

OpenStudy (anonymous):

firt put tann x/2 as cot x/2 and diffetentiate it u wil get -1/2cosec^2x/2

OpenStudy (anonymous):

becoz tan x/2 is to the power of -1 hence after taking its reciprocal u get cot x/2

OpenStudy (anonymous):

by usng the product rule*

OpenStudy (anonymous):

now differentiate -1/2(x^2+4) you will get -xlog (x^2+4)

OpenStudy (anonymous):

hence your total answer is -1/2cosec^2x/2-xlog (x^2+4)

OpenStudy (anonymous):

if you have any other problem you can ask

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