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x^5-2*x
The derivative of the function/ x^5-2*x

Derivative of x^5-2*x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 5      
x  - 2*x
$$x^{5} - 2 x$$ 
x^5 - 2*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
-2 + 5*x
$$5 x^{4} - 2$$
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 x^5-2*x
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