Second derivatives
Second derivatives
4 marks
TGM Original
Angles are in radians. Given y=sin(3 x), find dydx and d2ydx2. Hence find the value of the second derivative at x=0.
Solution:
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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=3 \cos{\left(3 x \right)}\); \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}=- 9 \sin{\left(3 x \right)}\); at \(x=0\), \(0\).
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