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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
The first derivative [src]
       4
2 + 5*x 
$$5 x^{4} + 2$$
The second derivative [src]
    3
20*x 
$$20 x^{3}$$
The third derivative [src]
    2
60*x 
$$60 x^{2}$$
The graph
Derivative of x^5+2*x