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What is the derivative of #(arctan x)^3 #?

1 Answer

Mar 12, 2016

#f'(x)=(3arctan^2(x))/((x^2+1))#

Explanation:

#f(x)=arctan^3(x)#

Apply the chain rule:

#f'(x)=3arctan^2(x).(d(arctanx))/(dx)#

#=3xx1/((x^2+1)).arctan^2(x)#

#=(3arctan^2(x))/((x^2+1))#

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