Derivative of (x^5+1)

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 5    
x  + 1

$$x^{5} + 1$$

x^5 + 1

Detail solution

Differentiate $x^{5} + 1$ term by term:
1. Apply the power rule: $x^{5}$ goes to $5 x^{4}$
2. The derivative of the constant $1$ is zero.
The result is: $5 x^{4}$

The answer is:

$5 x^{4}$

The graph

Plot the graph f(x)

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The first derivative [src]

   4
5*x

$$5 x^{4}$$

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