Mister Exam

Other calculators

x^-6
The derivative of the function/ x^-6

Derivative of x^-6

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
1 
--
 6
x
1x6\frac{1}{x^{6}} 
x^(-6)
Detail solution

  1. Apply the power rule: 1x6\frac{1}{x^{6}} goes to −6x7- \frac{6}{x^{7}}

The answer is:

−6x7- \frac{6}{x^{7}}

The graph
02468-8-6-4-2-1010-100000000100000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-6 
---
  7
 x
−6x7- \frac{6}{x^{7}}
Simplify
The second derivative [src] 
42
--
 8
x
42x8\frac{42}{x^{8}}
Simplify
The third derivative [src] 
-336 
-----
   9 
  x
−336x9- \frac{336}{x^{9}}
Simplify
The graph
Derivative of x^-6
    © Mister Exam – Calculator