If the function f(x) = x^3 + e^ x 2 and g(x) = f^ -1 (x), then the value of g′(1) is

JEE Advanced 2009 Mathematics question

If the function and , then the value of g′(1) is

Answer: 2

f is increasing and f(0) = 0 + 1 = 1, so g(1) = 0. By the inverse-function rule, $g'(1) =

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-037768