WBJEE · Maths · Application of Derivatives
For the function \(f(x)=e^{\cos x}\), Rolle's theorem is
- 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 \(\frac{\pi}{4} \leq \mathrm{x} \leq \frac{\pi}{2}\)
Answer & Solution
Correct Answer
(A) applicable when \(\frac{\pi}{2} \leq x \leq \frac{3 \pi}{2}\)
Step-by-step Solution
Detailed explanation
Hints: \(f(\pi / 2)=f(3 \pi / 2)\)
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