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x^-5
The derivative of the function/ x^-5

Derivative of x^-5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
1 
--
 5
x
1x5\frac{1}{x^{5}} 
x^(-5)
Detail solution

  1. Apply the power rule: 1x5\frac{1}{x^{5}} goes to −5x6- \frac{5}{x^{6}}

The answer is:

−5x6- \frac{5}{x^{6}}

The graph
02468-8-6-4-2-1010-50000005000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-5 
---
  6
 x
−5x6- \frac{5}{x^{6}}
Simplify
The second derivative [src] 
30
--
 7
x
30x7\frac{30}{x^{7}}
Simplify
The third derivative [src] 
-210 
-----
   8 
  x
−210x8- \frac{210}{x^{8}}
Simplify
The graph
Derivative of x^-5
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