Derivative of x^2+1

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 2    
x  + 1

$$x^{2} + 1$$

x^2 + 1

Detail solution

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

The answer is:

$2 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2*x

$$2 x$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph