Calculus 1 differentiation help

Question

Find the derivative of the function.

y =(tan^-1(4x))^2

Answer 1

Recall df(u)/dx = (df/du)(du/dx)

f = u², u = arctan(4x)

(d/du)(u²) = 2u

= 2u (4/(16x²+1)) u = 4x

= 8 arcTan(4x)/(16x² + 1)