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4/x^3

Derivative of 4/x^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
4 
--
 3
x 
$$\frac{4}{x^{3}}$$
4/x^3
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Let .

    2. Apply the power rule: goes to

    3. Then, apply the chain rule. Multiply by :

      1. Apply the power rule: goes to

      The result of the chain rule is:

    So, the result is:


The answer is:

The graph
The first derivative [src]
-12 
----
  4 
 x  
$$- \frac{12}{x^{4}}$$
The second derivative [src]
48
--
 5
x 
$$\frac{48}{x^{5}}$$
The third derivative [src]
-240 
-----
   6 
  x  
$$- \frac{240}{x^{6}}$$
The graph
Derivative of 4/x^3