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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