If $y = \sin [{\cos ^{ - 1}}\{ \sin ({\cos ^{ - 1}}x)\} ],$ then $\frac{{dy}}{{dx}}$ at $x = \frac{1}{2}$ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

y = \sin [{\cos ^{ - 1}}\{ \sin ({\cos ^{ - 1}}x)\} ],

then

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

x = \frac{1}{2}

is equal to

View answer and explanation

Correct option: D

Option D (1) is correct because after simplifying the given expression, y becomes equal to x, hence its derivative is 1.

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