differentiation

Question: If $y = \sin (\sqrt {\sin x + \cos x} )$, then $\frac{{dy}}{{dx}} = $

1) $\frac{1}{2}\frac{{\cos \sqrt {\sin x + \cos x} }}{{\sqrt {\sin x + \cos x} }}$

2) $\frac{{\cos \sqrt {\sin x + \cos x} }}{{\sqrt {\sin x + \cos x} }}$

3) $\frac{1}{2}\frac{{\cos \sqrt {\sin x + \cos x} }}{{\sqrt {\sin x + \cos x} }}.(\cos x - \sin x)$

4) None of these

Solution:

Explanation: Explanation

standard-differentiation

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