Find the derivative of the inverse of the following functions, y = 3x^2 + 2 log x^3, at x = 1

Question

Find the derivative of the inverse of the following functions, and also find their value at the points indicated against them.

y = 3x² + 2 log x³, at x = 1

Answer 1

y = 3x² + 2 log x³ 

= 3x² + 6 log x

Differentiating w.r.t. x, we get

The derivative of inverse function of y = f(x) is given by