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Derivative of x^2+x^3

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 2    3
x  + x

$$x^{3} + x^{2}$$

x^2 + x^3

Detail solution

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

$x \left(3 x + 2\right)$

The answer is:

$x \left(3 x + 2\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

         2
2*x + 3*x

$$3 x^{2} + 2 x$$

Simplify

The second derivative [src]

2*(1 + 3*x)

$$2 \left(3 x + 1\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph