Derivative of t^2+1

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 2    
t  + 1

$$t^{2} + 1$$

t^2 + 1

Detail solution

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

The answer is:

$2 t$

The graph

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The first derivative [src]

2*t

$$2 t$$

Simplify

The second derivative [src]

$$2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph