QJEEAdv17Ma6c81: JEE Advanced 2017 Mathematics - Class 12 JEEAdv17Ma6c81 Solution: If f : R → R is a twice differentiable function such that f"(x) …

Question

Verified Solution • 2025–26 Session moderate

If f : R

\to

R is a twice differentiable function such that f"(x) > 0 for all x

\in

R, and

f (\frac{1}{2}) = \frac{1}{2}

, f(1) = 1, then

Accepted Answer

f'(x) is increasing

For some x in

(\frac{1}{2}, 1)

f'(x) = 1 [LMVT]

∴

f'(1) > 1

Step-by-Step Verified Solution