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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

The maximum value of is

Answer: (C)

Solution

, so

f(x) = 3 + x + (Missing argument for \frac\frac x2 + Missing argument for \frac\frac x2) = 3 + x + Missing argument for \sqrt\sqrt2 (Missing argument for \frac\frac x2 + Missing argument for \frac\frac4).

Each part is bounded: and . Hence \le\sqrt$2 = 4 +

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Question ID VK-109392