# How do you find the derivative of 32/x?

Jan 10, 2016

$- \frac{32}{x} ^ 2$

#### Explanation:

Before differentiating this function it requires to be written in the

form $a {x}^{n}$

note that the derivative of a function must be in the correct form before you can differentiate it.

$f \left(x\right) = a {x}^{n} \Rightarrow f ' \left(x\right) = n a {x}^{n - 1}$

$\frac{32}{x} = 32 {x}^{-} 1$

now differentiating gives $- 1 \times 32 {x}^{-} 2$

rewriting with a positive index the gives $- \frac{32}{x} ^ 2$