Find the derivative of $sin (x^{2} + 5)$

2 cos (x^{2} + 5)

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2 x cos (x^{2} + 5)

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- x cos (x^{2} + 5)

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- 2 x cos (x^{2} + 5)

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Solution

The correct option is C $2 x cos (x^{2} + 5)$
let $y = sin (x^{2} + 5)$
differentiate both sides wrt $x$
$\frac{d y}{d x} = cos (x^{2} + 5) \frac{d}{d x} (x^{2} + 5)$
$∴ \frac{d y}{d x} = 2 x cos (x^{2} + 5)$

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