# How do you find the derivative of 4 / (x+3)?

May 31, 2016

$- \frac{4}{x + 3} ^ 2$

#### Explanation:

1. We would need to use the Derivative rules.
A. Constant Rule
B. Power Rule
C. Sum & Difference Rule
D. Quotent Rule

2. Apply the specific Rules

$\frac{d}{\mathrm{dx}} \left(4\right) = 0$

$\frac{d}{\mathrm{dx}} \left(x + 3\right) = 1 + 0$

Now to set up the Quotent Rule for the whole function:

$\frac{\left(0\right) \left(x + 3\right) - \left(4\right) \left(1\right)}{x + 3} ^ 2$

simplify and you get:

$- \frac{4}{x + 3} ^ 2$