Derivative of x+x^4

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     4
x + x

$$x^{4} + x$$

x + x^4

Detail solution

Differentiate $x^{4} + x$ term by term:
1. Apply the power rule: $x$ goes to $1$
2. Apply the power rule: $x^{4}$ goes to $4 x^{3}$
The result is: $4 x^{3} + 1$

The answer is:

$4 x^{3} + 1$

The graph

Plot the graph f(x)

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The first derivative [src]

       3
1 + 4*x

$$4 x^{3} + 1$$

Simplify

The second derivative [src]

    2
12*x

$$12 x^{2}$$

Simplify

The third derivative [src]

24*x

$$24 x$$

Simplify

The graph