Question

if y=f(x^3) and f'(x)=e^8x, then find dy/dx.

Answer 1

Step-by-step explanation:

differentiate y = f(x^3) and f^-1(x) = e^8x then find dy/dx

A)

y = f(x^3) and f^-1(x^3) = e^8x

this implies x^3 = f(e^8x)

or x = f(e^2x)

y = e^2x

dy/dx = 2e^2