Find the derivative of $(x^{2} + cos x)$ .

2 x + s i n x

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2 x^{2} + s i n x

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2 x - s i n x

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2 x - c o s x

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Solution

The correct option is C $2 x - s i n x$
Let y=( $x^{2} + c o s x$ )
diffrentiate it with respect to x
$\frac{d y}{d x} = \frac{d x^{2}}{d x} + \frac{d c o s x}{d x}$
$\frac{d y}{d x} = 2 x^{2 - 1} + (- s i n x)$
$\frac{d y}{d x} = 2 x - s i n x$

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