Question

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

Answer 1

`-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

`d/dx (4) = 0`

`d/dx (x+3) = 1+0`

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

`((0) (x+3) - (4) (1))/(x+3)^2`

simplify and you get:

`-4/(x+3)^2`