If y = [ ( x)], then dy/dx = - Vidyadip

MCQ

If $y = \sin [\cos (\sin x)],$ then $dy/dx = $

A
$ - \cos [\cos (\sin x)]\sin (\cos x).\cos x$
✓
$ - \cos [\cos (\sin x)]\sin (\sin x).\cos x$
C
$\cos [\cos (\sin x)]\sin (\cos x).\cos x$
D
$\cos [\cos (\sin x)]\sin (\sin x).\cos x$

✓

Answer

Correct option: B.

$ - \cos [\cos (\sin x)]\sin (\sin x).\cos x$

b
(b) $y = \sin \{ \cos (\sin x)\} $

==> $\frac{{dy}}{{dx}} = - \cos \{ \cos (\sin x)\} \sin (\sin x)\cos x$.

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