Derivative of 6/x

find the derivative of f(x) = 6/x at x = -2. select one: a. 6 b. 3/2 c.

Find the derivative of f(x) = 6 divided by x at x = -2.

You have entered [src]

6
-
x

$$\frac{6}{x}$$

6/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: $- \frac{6}{x^{2}}$

The answer is:

$- \frac{6}{x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-6 
---
  2
 x

$$- \frac{6}{x^{2}}$$

Simplify

The second derivative [src]

12
--
 3
x

$$\frac{12}{x^{3}}$$

Simplify

The third derivative [src]

-36 
----
  4 
 x

$$- \frac{36}{x^{4}}$$

Simplify

The graph