JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

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Analyzing +4 | -1

The second order derivative of

a{\sin ^3}a{\sin ^3}t

with respect to

a{\cos ^3}{\cos ^3}t\,

t = \frac{\pi }{4}\,

View answer and explanation

Correct option: C

\frac{{4\sqrt 2 }}{{3a}}

Option C (

\frac{{4\sqrt 2 }}{{3a}}

) is correct because after finding the second-order derivative and evaluating it at

t = \frac{\pi }{4}

, the expression simplifies to the stated result.

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