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Home › Bihar Board Class 12 (Commerce) › Mathematics › Application of Derivatives › Determine the peak value of sin x + cos x over a…

Determine the peak value of sin x + cos x over all real x.

A1
B1/√2
C√2
D2
Answer & Solution
Correct answer: C. √2
The derivative cos x − sin x vanishes at x = π/4, where the value is 2 × (1/√2) = √2.
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