Mister Exam

Derivative of x^-4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
1 
--
 4
x 
$$\frac{1}{x^{4}}$$
x^(-4)
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
-4 
---
  5
 x 
$$- \frac{4}{x^{5}}$$
The second derivative [src]
20
--
 6
x 
$$\frac{20}{x^{6}}$$
The third derivative [src]
-120 
-----
   7 
  x  
$$- \frac{120}{x^{7}}$$
The graph
Derivative of x^-4