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Differentiation of trigonometric functions and differentiation rules — Question 107

Original QCE Vault practice · 1 mark

Q107 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 107

For x≠0x\ne0, if y=cos⁡xxy=\dfrac{\cos x}{x}, then dydx\dfrac{dy}{dx} is
(A)
−xsin⁡x−cos⁡xx2\dfrac{-x\sin x-\cos x}{x^2}
(B)
−xsin⁡x+cos⁡xx2\dfrac{-x\sin x+\cos x}{x^2}
(C)
xsin⁡x−cos⁡xx2\dfrac{x\sin x-\cos x}{x^2}
(D)
−sin⁡xx-\dfrac{\sin x}{x}
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