Q68 / 160 · WBJEE 2011 · Mathematics

For the function \(f(x)=e^{\cos x}\), Rolle's theorem is

Correct answer
A
applicable when \(\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}\)
B
applicable when \(0 \leq \mathrm{x} \leq \frac{\pi}{2}\)
C
applicable when \(0 \leq x \leq \pi\)
D
applicable when \(\frac{\pi}{4} \leq \mathrm{x} \leq \frac{\pi}{2}\)

Solution

Hints: \(f(\pi / 2)=f(3 \pi / 2)\)

Hence, the correct answer is option: 'A'.

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