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Single Variable Calculus

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Moderate

Derivatives of Logarithms

SVCALC-CKW4LX

Find derivative of the function:

$$y=\ln \frac{x+1}{\sqrt{x+2}}$$

A

$\cfrac{\sqrt{x-2}}{x+1}$

B

$1/2(x-2)^{-1/2}{x+1}$

C

$\cfrac{1}{x+1}-\frac{1}{2(x-2)}$.

D

$\cfrac{1}{2(x-2)}-\frac{1}{x+1}$.