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The derivative of the function/ x^(-12)

Derivative of x^(-12)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 1 
---
 12
x
1x12\frac{1}{x^{12}} 
x^(-12)
Detail solution

  1. Apply the power rule: 1x12\frac{1}{x^{12}} goes to −12x13- \frac{12}{x^{13}}

The answer is:

−12x13- \frac{12}{x^{13}}

The graph
02468-8-6-4-2-1010-250000000000000250000000000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-12 
----
 13 
x
−12x13- \frac{12}{x^{13}}
Simplify
The second derivative [src] 
156
---
 14
x
156x14\frac{156}{x^{14}}
Simplify
The third derivative [src] 
-2184 
------
  15  
 x
−2184x15- \frac{2184}{x^{15}}
Simplify
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