What's the derivative of #f(x) = (1/3) (arctan(3x))^2#?
1 Answer
Jan 31, 2016
Explanation:
The first issue is the squared function. Use the chain rule:
#f'(x)=2/3(arctan(3x))^1d/dx(arctan(3x))#
To differentiate the
#f'(x)=2/3arctan(3x)*3/(1+9x^2)#
This simplifies to be
#f'(x)=(2arctan(3x))/(1+9x^2)#