QCEVault

Differentiation of trigonometric functions and differentiation rules — Question 275

Original QCE Vault practice · 5 marks

Q275 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 275 (5 marks)

The height of a decorative wave is modelled by h(x)=2sin⁡2xh(x)=2\sin^2x for 0≤x≤π0\leq x\leq\pi.
Graph of h(x)=2 sin squared(x), from x=0 to pi, with maximum height 2 and zeros at both ends.
a)
Show that h′(x)=4sin⁡xcos⁡xh^{\prime}(x)=4\sin x\cos x.
[1 mark]
b)
Determine the interior stationary point and classify it.
[2 marks]
c)
Determine the exact intervals on which the graph is concave up.
[2 marks]
Question linkSyllabus coverage

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