JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

Let

f(x)=\log \sin x^2, 0 < x < \pi / 2

then

f^{\prime \prime}(\sqrt{\pi} / 2)

is equal to

View answer and explanation

Correct option: C

2(1-\pi)

Option C (

2(1-\pi)

) is correct because it is the value of the second derivative of the given function evaluated at

x = \sqrt{\pi}/2

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\frac{{dy}}{{dx}}

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