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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

The function is monotonically decreasing in the set

Answer: (A)

Solution

f'(x) = - 1 = 0 for all x,

with equality **only** at the single point .

A continuous function whose derivative is everywhere and vanishes only at isolated points is strictly decreasing on the whole interval.

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Question ID VK-109424