Second derivatives

Second derivatives

4 marks
TGM Original
Given y=e2 x, find dydx and d2ydx2. Hence find the value of the second derivative at x=0.

Solution:

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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=2 e^{2 x}\); \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}=4 e^{2 x}\); at \(x=0\), \(4\).

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