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y=x^5-8x
The derivative of the function/ y=x^5-8x

Derivative of y=x^5-8x

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

The graph:

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The solution

You have entered [src] 
 5      
x  - 8*x
x5−8xx^{5} - 8 x 
x^5 - 8*x
Detail solution

  1. Differentiate x5−8xx^{5} - 8 x term by term:

    1. Apply the power rule: x5x^{5} goes to 5x45 x^{4}

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: xx goes to 11

      So, the result is: −8-8

    The result is: 5x4−85 x^{4} - 8

The answer is:

5x4−85 x^{4} - 8

The graph
02468-8-6-4-2-1010-200000200000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        4
-8 + 5*x
5x4−85 x^{4} - 8
Simplify
The second derivative [src] 
    3
20*x
20x320 x^{3}
Simplify
The third derivative [src] 
    2
60*x
60x260 x^{2}
Simplify
The graph
Derivative of y=x^5-8x
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