WBJEE · Maths · Application of Derivatives
The maximum value of \(f(x)=e^{\sin x}+e^{\cos x} ; x \in R\) is
- A \(2 \mathrm{e}\)
- B \(2 \sqrt{\mathrm{e}}\)
- C \(2 \mathrm{e}^{1 / \sqrt{2}}\)
- D \(2 e^{-1 / \sqrt{2}}\)
Answer & Solution
Correct Answer
(C) \(2 \mathrm{e}^{1 / \sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\(f(x)=e^{\sin x}+e^{\cos x}\)…
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