Derivative of x+x^2

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     2
x + x

$$x^{2} + x$$

x + x^2

Detail solution

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

The answer is:

$2 x + 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

1 + 2*x

$$2 x + 1$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify