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3/x^2
The derivative of the function/ 3/x^2

Derivative of 3/x^2

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

The graph:

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The solution

You have entered [src] 
3 
--
 2
x
3x2\frac{3}{x^{2}} 
3/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: −6x3- \frac{6}{x^{3}}

The answer is:

−6x3- \frac{6}{x^{3}}

The graph
02468-8-6-4-2-1010-1000010000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-6 
---
  3
 x
−6x3- \frac{6}{x^{3}}
Simplify
The second derivative [src] 
18
--
 4
x
18x4\frac{18}{x^{4}}
Simplify
The third derivative [src] 
-72 
----
  5 
 x
−72x5- \frac{72}{x^{5}}
Simplify
The graph
Derivative of 3/x^2
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