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JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Application +4 | -1
If f(x)=kx−sin⁡xf\left( x \right) = kx - \sin x is monotonically increasing, then
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Correct option: A
k>1k > 1
Option A (k>1k > 1) is correct because for the function to be monotonically increasing, its derivative must be greater than 0, implying k>cos⁡xk > \cos x for all x, hence k>1k > 1.

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