If f(1) = 4, f’(1) = 2, find the value of the derivative of log (f(e x )) with respect to x at the point x = 0.

Question

Philoid · Accepted Answer

Using the Chain Rule of Differentiation, derivative of log(f(e^x)) w.r.t. x is

So, the value of the derivative at x = 0 is

So, the value of the derivative at x = 0 is 0.5 (Ans)