Mister Exam

Derivative of 1/x^10

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 1 
---
 10
x  
$$\frac{1}{x^{10}}$$
1/(x^10)
Detail solution
  1. Let .

  2. Apply the power rule: goes to

  3. Then, apply the chain rule. Multiply by :

    1. Apply the power rule: goes to

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
 -10 
-----
   10
x*x  
$$- \frac{10}{x x^{10}}$$
The second derivative [src]
110
---
 12
x  
$$\frac{110}{x^{12}}$$
The third derivative [src]
-1320 
------
  13  
 x    
$$- \frac{1320}{x^{13}}$$
The graph
Derivative of 1/x^10