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Mathematics · JEE | APPLICATION OF DERIVATIVES

हिन्दी

What is the maximum value of the function \( f(x) = \sin x + \cos x \)?

  1. A
    2
  2. B
    1
  3. C
    \( \sqrt{2} \)
  4. D
    \( \frac{1}{\sqrt{2}} \)
View Answer & Solution

Correct answer · Option C

\( \sqrt{2} \)

Explanation

The expression \( \sin x + \cos x = \sqrt{2}\sin(x + \frac{\pi}{4}) \). Its maximum value is \( \sqrt{2} \).
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