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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
4x54 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: x5x^{5} goes to 5x45 x^{4}

    So, the result is: 20x420 x^{4}

The answer is:

20x420 x^{4}

The graph
02468-8-6-4-2-1010-10000001000000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    4
20*x
20x420 x^{4}
Simplify
The second derivative [src] 
    3
80*x
80x380 x^{3}
Simplify
The third derivative [src] 
     2
240*x
240x2240 x^{2}
Simplify
The graph
Derivative of 4*x^5
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