Mister Exam

Derivative of 3/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
3
-
x
$$\frac{3}{x}$$
d /3\
--|-|
dx\x/
$$\frac{d}{d x} \frac{3}{x}$$
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]
-3 
---
  2
 x 
$$- \frac{3}{x^{2}}$$
The second derivative [src]
6 
--
 3
x 
$$\frac{6}{x^{3}}$$
The third derivative [src]
-18 
----
  4 
 x  
$$- \frac{18}{x^{4}}$$
The graph
Derivative of 3/x