JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1

Let

f(x)=3 \sin x-4 \sin ^3 x

. The length of the longest interval in which

f^{\prime}(x) \geq 0

View answer and explanation

Correct option: A

\frac{\pi}{3}

Option A (

\frac{π}{3}

) is correct because it represents the length of the interval where the derivative of f(x) is non-negative.

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