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Derivative of Trigonometric Functions

Question

Differentiate the following from first principle.
$$\dfrac{\sin x}{x}$$.

A

$$\dfrac{-x\cos x+\sin x}{x^2}$$.

B

$$\dfrac{x\cos x-\sin x}{x^2}$$.

C

$$\dfrac{-x\sin x+\cos x}{x^2}$$.

D

$$\dfrac{x\sin x-\cos x}{x^2}$$.

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Solution

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Correct option is B. $$\dfrac{x\cos x-\sin x}{x^2}$$.

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