Mister Exam

Derivative of 9/x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
9
-
x
$$\frac{9}{x}$$
9/x
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: goes to

    So, the result is:


The answer is:

The graph
The first derivative [src]
-9 
---
  2
 x 
$$- \frac{9}{x^{2}}$$
The second derivative [src]
18
--
 3
x 
$$\frac{18}{x^{3}}$$
The third derivative [src]
-54 
----
  4 
 x  
$$- \frac{54}{x^{4}}$$
The graph
Derivative of 9/x