What is the first derivative of t^2+1 ?

The first derivative of t^2+1 is 2t

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derivative of t^2+1

derivative of

t^{2} + 1

2 t

Solution steps

\frac{d}{d t} (t^{2} + 1)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (t^{2}) + \frac{d}{d t} (1)

\frac{d}{d t} (t^{2}) = 2 t

\frac{d}{d t} (1) = 0

= 2 t + 0

Simplify

= 2 t