First slide

Derivatives

Question

$\frac{d}{d x} \{\frac{5 x - 3}{2 x + 7}\} =$

Moderate

A

$\frac{7}{{(2 x + 5)}^{2}}$
B

$\frac{11}{{(3 x + 1)}^{2}}$
C

$\frac{41}{{(2 x + 7)}^{2}}$
D

$\frac{5}{{(3 x + 5)}^{2}}$

Solution

$\frac{d}{d x} [\frac{5 x - 3}{2 x + 7}] = \frac{35 + 6}{{(2 x + 7)}^{2}} = \frac{41}{{(2 x + 7)}^{2}}$

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