Derivative of 4/x

Find the derivative of f(x) = 4 divided by x at x = 2.

You have entered [src]

4
-
x

$$\frac{4}{x}$$

4/x

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: $- \frac{4}{x^{2}}$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-4 
---
  2
 x

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

Simplify

The second derivative [src]

8 
--
 3
x

$$\frac{8}{x^{3}}$$

Simplify

The third derivative [src]

-24 
----
  4 
 x

$$- \frac{24}{x^{4}}$$

Simplify

The graph