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What is the derivative of # tan^-1(x^2)#?

1 Answer

Leland Adriano Alejandro

Jan 17, 2016

#d/dx(tan^-1 (x^2))=(2x)/(1+x^4)#

Explanation:

the formula #d/dx(Tan ^-1 u)=1/(1+u^2)*(du)/dx#

Let #u=x^2#

#d/dx(Tan ^-1 x^2)=1/(1+(x^2)^2)*(d/dx(x^2))#

#d/dx(Tan ^-1 x^2)=(1/(1+(x^4))*2x)#

#d/dx(tan^-1 (x^2))=(2x)/(1+x^4)#

Just follow the formula

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