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1/(x^2)

Derivative of 1/(x^2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
1 
--
 2
x 
1x2\frac{1}{x^{2}}
1/(x^2)
Detail solution
  1. Let u=x2u = x^{2}.

  2. Apply the power rule: 1u\frac{1}{u} goes to 1u2- \frac{1}{u^{2}}

  3. Then, apply the chain rule. Multiply by ddxx2\frac{d}{d x} x^{2}:

    1. Apply the power rule: x2x^{2} goes to 2x2 x

    The result of the chain rule is:

    2x3- \frac{2}{x^{3}}


The answer is:

2x3- \frac{2}{x^{3}}

The graph
02468-8-6-4-2-1010-50005000
The first derivative [src]
-2  
----
   2
x*x 
2xx2- \frac{2}{x x^{2}}
The second derivative [src]
6 
--
 4
x 
6x4\frac{6}{x^{4}}
The third derivative [src]
-24 
----
  5 
 x  
24x5- \frac{24}{x^{5}}
The graph
Derivative of 1/(x^2)