If y = x , then dy dx = - Vidyadip

MCQ

If $y = \sqrt {\sin \sqrt x } $, then ${{dy} \over {dx}} = $

A
${1 \over {2\sqrt {\cos \sqrt x } }}$
B
${{\sqrt {\cos \sqrt x } } \over {2x}}$
✓
${{\cos \sqrt x } \over {4\sqrt x \sqrt {\sin \sqrt x } }}$
D
${1 \over {2\sqrt {\sin x} }}$

✓

Answer

Correct option: C.

${{\cos \sqrt x } \over {4\sqrt x \sqrt {\sin \sqrt x } }}$

c
(c) $\frac{{dy}}{{dx}} = \frac{1}{{2\sqrt {\sin \sqrt x } }} \times \cos \sqrt x \times \frac{1}{{2\sqrt x }}$.

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