What is the derivative of #(arctan x)^3#?
1 Answer
Apr 11, 2017
# d/dx arctan^3x = (3arctan^2x) /(x^2+1) #
Explanation:
By the chain rule we have:
# d/dx (arctanx)^3 = d/dx arctan^3x #
# " " = 3arctan^2x* d/dx (arctanx) #
And:
# d/dx(arctanx) = 1/(x^2+1) #
And so:
# d/dx arctan^3x = (3arctan^2x) /(x^2+1) #
