Derivative of 8/x

Find the derivative of f(x) = 8/x at x = -1.

You have entered [src]

8
-
x

$$\frac{8}{x}$$

d /8\
--|-|
dx\x/

$$\frac{d}{d x} \frac{8}{x}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
So, the result is: $- \frac{8}{x^{2}}$

The answer is:

$- \frac{8}{x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-8 
---
  2
 x

$$- \frac{8}{x^{2}}$$

Simplify

The second derivative [src]

16
--
 3
x

$$\frac{16}{x^{3}}$$

Simplify

The third derivative [src]

-48 
----
  4 
 x

$$- \frac{48}{x^{4}}$$

Simplify

The graph