derivative of ln(x^3 + 2)

Answer 1

derivative of ln(x^3 + 2)

f'(ln(f(x))) = 1/(f(x)) * f'(x)

f'(ln(x^3 + 2)) = 1/(x^3 + 2) * 3x^2
f'(ln(x^3 + 2)) = 3x^2/(x^3 + 2)

f' = 3x^2/(x^3 + 2)