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4*x^-7
The derivative of the function/ 4*x^-7

Derivative of 4*x^-7

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
4 
--
 7
x
$$\frac{4}{x^{7}}$$ 
4/x^7
Detail solution

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

    1. Apply the power rule: goes to

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-28 
----
  8 
 x
$$- \frac{28}{x^{8}}$$
Simplify
The second derivative [src] 
224
---
  9
 x
$$\frac{224}{x^{9}}$$
Simplify
The third derivative [src] 
-2016 
------
  10  
 x
$$- \frac{2016}{x^{10}}$$
Simplify
The graph
Derivative of 4*x^-7
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