Question

differentiate x cos x koi hai ​

Answer 1

Explanation:

• Use Product Rule to find the derivative of x cos x. The product rule states that (fg)'=f'g+fg'.

$\\ \tt\implies \left(\frac{d}{dx} x \right)\cos{x}+x \left(\frac{d}{dx} \cos{x} \right)$

• Use Power Rule: $\tt\dfrac{d}{dx} {x}^{n}=n{x}^{n-1}$

$\\ \tt\implies \cos{x}+x \bigg(\frac{d}{dx} \cos{x} \bigg)$

• Use Trigonometric Differentiation: the derivative of cosx is −sinx.

$\\ \tt\implies \cos{x}-x\sin{x}$

Answer 2

Explanation:

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