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x^-9
The derivative of the function/ x^-9

Derivative of x^-9

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
1 
--
 9
x
$$\frac{1}{x^{9}}$$ 
x^(-9)
Detail solution

  1. Apply the power rule: goes to

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-9 
---
 10
x
$$- \frac{9}{x^{10}}$$
Simplify
The second derivative [src] 
 90
---
 11
x
$$\frac{90}{x^{11}}$$
Simplify
The third derivative [src] 
-990 
-----
  12 
 x
$$- \frac{990}{x^{12}}$$
Simplify
The graph
Derivative of x^-9
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