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Differentiation of trigonometric functions and differentiation rules — Question 72

Original QCE Vault practice · 1 mark

Q72 · Practice questionTechnology-freeComplex familiar1 mark

QUESTION 72

For h(x)=sin⁡x+cos⁡(2x)h(x)=\sin x+\cos(2x) on 0<x<π20<x<\dfrac\pi2, the interior stationary point occurs at
(A)
x=π6x=\dfrac\pi6
(B)
x=π4x=\dfrac\pi4
(C)
x=sin⁡−1 ⁣(14)x=\sin^{-1}\!\left(\dfrac14\right)
(D)
x=cos⁡−1 ⁣(14)x=\cos^{-1}\!\left(\dfrac14\right)
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