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The derivative of the function/ 5x^8

Derivative of 5x^8

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   8
5*x
$$5 x^{8}$$ 
5*x^8
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] 
    7
40*x
$$40 x^{7}$$
Simplify
The second derivative [src] 
     6
280*x
$$280 x^{6}$$
Simplify
The third derivative [src] 
      5
1680*x
$$1680 x^{5}$$
Simplify
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