Second derivatives

Second derivatives

4 marks
TGM Original
Given y=ln(2 x + 1), x>- 12, find dydx and d2ydx2.

Solution:

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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{2}{2 x + 1}\); \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}=- \dfrac{4}{\left(2 x + 1\right)^{2}}\)

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