Find the derivative of function $y = x cos x$ .

cos x - x sin x

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cos x - sin x

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x cos x - sin x

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None of the above

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Solution

The correct option is A $cos x - x sin x$
$y = x cos x$

Using chain rule,
$\frac{d y}{d x} = cos x + x (- sin x)$
$\frac{d y}{d x} = cos x - x sin x$

Suggest Corrections

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