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5/x^2
The derivative of the function/ 5/x^2

Derivative of 5/x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
5 
--
 2
x
5x2\frac{5}{x^{2}} 
5/x^2
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    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}}

    So, the result is: −10x3- \frac{10}{x^{3}}

The answer is:

−10x3- \frac{10}{x^{3}}

The graph
02468-8-6-4-2-1010-2000020000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-10 
----
  3 
 x
−10x3- \frac{10}{x^{3}}
Simplify
The second derivative [src] 
30
--
 4
x
30x4\frac{30}{x^{4}}
Simplify
The third derivative [src] 
-120 
-----
   5 
  x
−120x5- \frac{120}{x^{5}}
Simplify
The graph
Derivative of 5/x^2
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