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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:

from to

Piecewise:

The solution

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

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. 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 result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
        4
-8 + 5*x
$$5 x^{4} - 8$$
Simplify
The second derivative [src] 
    3
20*x
$$20 x^{3}$$
Simplify
The third derivative [src] 
    2
60*x
$$60 x^{2}$$
Simplify
The graph
Derivative of y=x^5-8x
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