Differentiate the function with respect to x : ( x ) - Vidyadip

Question

Differentiate the function with respect to x : $\cos \left( {\sqrt x } \right)$

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Answer

Let $y = \cos \left( {\sqrt x } \right)$

$\therefore \frac{{dy}}{{dx}} = - \sin \sqrt x. \frac{d}{{dx}}\sqrt x $

$ = - \sin \sqrt x .\frac{1}{2}{\left( x \right)^{\frac{{ - 1}}{2}}}$

$= \frac{{ - \sin \sqrt x }}{{2\sqrt x }}$

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