Differentiate the function with respect to x : ( x^2 + 5 ) - Vidyadip

Question

Differentiate the function with respect to x : $\sin \left( {{x^2} + 5} \right)$

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Answer

Let $y = \sin \left( {{x^2} + 5} \right)$

$\therefore \frac{{dy}}{{dx}} = \cos \left( {{x^2} + 5} \right)\frac{d}{{dx}}\left( {{x^2} + 5} \right)$

$ = \cos \left( {{x^2} + 5} \right)\left( {2x + 0} \right)$

$= 2x\cos \left( {{x^2} + 5} \right)$

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