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1/x^3

Derivative of 1/x^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1 
1*--
   3
  x 
$$1 \cdot \frac{1}{x^{3}}$$
d /  1 \
--|1*--|
dx|   3|
  \  x /
$$\frac{d}{d x} 1 \cdot \frac{1}{x^{3}}$$
Detail solution
  1. Apply the quotient rule, which is:

    and .

    To find :

    1. The derivative of the constant is zero.

    To find :

    1. Apply the power rule: goes to

    Now plug in to the quotient rule:


The answer is:

The graph
The first derivative [src]
-3  
----
   3
x*x 
$$- \frac{3}{x x^{3}}$$
The second derivative [src]
12
--
 5
x 
$$\frac{12}{x^{5}}$$
The third derivative [src]
-60 
----
  6 
 x  
$$- \frac{60}{x^{6}}$$
The graph
Derivative of 1/x^3