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Differentiation of trigonometric functions and differentiation rules — Question 62

Original QCE Vault practice · 1 mark

Q62 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 62

If h(x)=cos⁡(3x)sin⁡xh(x)=\cos(3x)\sin x, then h′(x)h'(x) is
(A)
−3sin⁡(3x)sin⁡x+cos⁡(3x)cos⁡x-3\sin(3x)\sin x+\cos(3x)\cos x
(B)
3sin⁡(3x)cos⁡x+cos⁡(3x)sin⁡x3\sin(3x)\cos x+\cos(3x)\sin x
(C)
−3sin⁡(3x)cos⁡x-3\sin(3x)\cos x
(D)
cos⁡(3x)cos⁡x\cos(3x)\cos x
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