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

Derivative of 3/x^3

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

The graph:

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The solution

You have entered [src] 
3 
--
 3
x
3x3\frac{3}{x^{3}} 
3/x^3
Detail solution

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

    1. Let u=x3u = x^{3}.

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

    3. Then, apply the chain rule. Multiply by ddxx3\frac{d}{d x} x^{3}:

      1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

      The result of the chain rule is:

      −3x4- \frac{3}{x^{4}}

    So, the result is: −9x4- \frac{9}{x^{4}}

The answer is:

−9x4- \frac{9}{x^{4}}

The graph
02468-8-6-4-2-1010-100000100000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-9 
---
  4
 x
−9x4- \frac{9}{x^{4}}
Simplify
The second derivative [src] 
36
--
 5
x
36x5\frac{36}{x^{5}}
Simplify
The third derivative [src] 
-180 
-----
   6 
  x
−180x6- \frac{180}{x^{6}}
Simplify
The graph
Derivative of 3/x^3
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