Mister Exam

Derivative of x^-11

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 1 
---
 11
x  
1x11\frac{1}{x^{11}}
x^(-11)
Detail solution
  1. Apply the power rule: 1x11\frac{1}{x^{11}} goes to 11x12- \frac{11}{x^{12}}


The answer is:

11x12- \frac{11}{x^{12}}

The graph
02468-8-6-4-2-1010-1000000000000010000000000000
The first derivative [src]
-11 
----
 12 
x   
11x12- \frac{11}{x^{12}}
The second derivative [src]
132
---
 13
x  
132x13\frac{132}{x^{13}}
The third derivative [src]
-1716 
------
  14  
 x    
1716x14- \frac{1716}{x^{14}}
The graph
Derivative of x^-11