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4*x^5
The derivative of the function/ 4*x^5

Derivative of 4*x^5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   5
4*x
$$4 x^{5}$$ 
4*x^5
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] 
    4
20*x
$$20 x^{4}$$
Simplify
The second derivative [src] 
    3
80*x
$$80 x^{3}$$
Simplify
The third derivative [src] 
     2
240*x
$$240 x^{2}$$
Simplify
The graph
Derivative of 4*x^5
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