Differential coefficient of $\sqrt {\sec \sqrt x } $ is

$\frac{1}{{4\sqrt x }}\sec \sqrt x \sin \sqrt x $

$\frac{1}{2}\sqrt x \sec \sqrt x \sin \sqrt x $

$\frac{1}{2}\sqrt x {\left( {\sec \sqrt x } \right)^{\frac{3}{2}}}.\sin \sqrt x $

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Differential coefficient of

\sqrt {\sec \sqrt x }

View answer and explanation

Correct option: B

\frac{1}{{4\sqrt x }}{\left( {\sec \sqrt x } \right)^{\frac{3}{2}}}.\sin \sqrt x

Option B (

\frac{1}{{4\sqrt x }}{\left( {\sec \sqrt x } \right)^{\frac{3}{2}}}.\sin \sqrt x

) is correct because it correctly applies the chain rule to find the derivative of the given function.

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