Let f (x) = and g (x) be the inverse of f (x), then which …

Maths Definite Integral and Area Under Curves General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Let f (x) = and g (x) be the inverse of f (x), then which one of the following holds good?

2g'' = g 2

2g'' = 3g 2

3g'' = 2g 2

3g'' = g 2

Text Solution

Verified by Experts

The correct answer is:

f ' (x) = & f '' (x) = , Also g(f(x)) = x

⇒ g''(f(x)) = – = ⇒ g''(f(x)) =

Let f(x) = t ⇒ g(t) = x

so , 2g'' = 3g 2 .

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