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x^-3
The derivative of the function/ x^-3

Derivative of x^-3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
1 
--
 3
x
1x3\frac{1}{x^{3}} 
x^(-3)
Detail solution

  1. Apply the power rule: 1x3\frac{1}{x^{3}} goes to −3x4- \frac{3}{x^{4}}

The answer is:

−3x4- \frac{3}{x^{4}}

The graph
02468-8-6-4-2-1010-5000050000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-3 
---
  4
 x
−3x4- \frac{3}{x^{4}}
Simplify
The second derivative [src] 
12
--
 5
x
12x5\frac{12}{x^{5}}
Simplify
The third derivative [src] 
-60 
----
  6 
 x
−60x6- \frac{60}{x^{6}}
Simplify
The graph
Derivative of x^-3
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