Question

Let the function f(x) have the property that f′(x)=(x+4)/(x−1). If g(x)=f(x^2) find g′(x).

Answer 1

This is a cute example of the chain rule.

\[g'(x) = (d/dx)(x^2).f'(x^2) = 2x f'(x^2)\]

Answer 2

so complete the substitution.

Answer 3

Thank you!! got the answer!!