# How do you differentiate f(x)=(2x+3)/6 using the quotient rule?

Apr 20, 2017

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#### Explanation:

using the formula $f \left(x\right) = \frac{h \left(x\right)}{g} \left(x\right)$

$f ' \left(x\right) = \frac{g \left(x\right) \cdot h ' \left(x\right) - h \left(x\right) \cdot g ' \left(x\right)}{g \left(x\right)} ^ 2$

$f ' \left(x\right) = \frac{\left(6\right) \cdot \left(2\right) - \left(2 x + 3\right) \cdot 0}{36} = \frac{12}{36} = \frac{2}{6} = \frac{1}{3}$