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

Derivative of x^5/5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 5
x 
--
5
x55\frac{x^{5}}{5} 
x^5/5
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: x4x^{4}

The answer is:

x4x^{4}

The graph
02468-8-6-4-2-1010-5000050000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
 4
x
x4x^{4}
Simplify
The second derivative [src] 
   3
4*x
4x34 x^{3}
Simplify
The third derivative [src] 
    2
12*x
12x212 x^{2}
Simplify
The graph
Derivative of x^5/5
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