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

Derivative of 5x^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   4
5*x
5x45 x^{4} 
d /   4\
--\5*x /
dx
ddx5x4\frac{d}{d x} 5 x^{4}
Transform
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: x4x^{4} goes to 4x34 x^{3}

    So, the result is: 20x320 x^{3}

The answer is:

20x320 x^{3}

The graph
02468-8-6-4-2-1010-100000100000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    3
20*x
20x320 x^{3}
Simplify
The second derivative [src] 
    2
60*x
60x260 x^{2}
Simplify
The third derivative [src] 
120*x
120x120 x
Simplify
The graph
Derivative of 5x^4
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