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How do you find the derivative of #(arctan x)^3#?

1 Answer

Mar 16, 2016

You can find it like this:

Explanation:

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

#(d[arctan(x)])/(dx)=1/((x^2+1))#

So you apply the chain rule:

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

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

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