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GUJCET · Maths · Application of Derivatives
The absolute maximum value of \(f(x)=\sin x+\cos x, x \in[0, \pi]\) is ____________ .
- A \(\frac{1}{\sqrt{2}}\)
- B 0
- C 1
- D \(\sqrt{2}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(f'(x) = \cos x - \sin x\) \(\cos x - \sin x = 0 \implies \tan x = 1 \implies x = \frac{\pi}{4}\)
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