What is the derivative of 3t^2-27 ?

The derivative of 3t^2-27 is 6t

What is the first derivative of 3t^2-27 ?

The first derivative of 3t^2-27 is 6t

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derivative of

3 t^{2} - 27

6 t

Solution steps

\frac{d}{d t} (3 t^{2} - 27)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3 t^{2}) - \frac{d}{d t} (27)

\frac{d}{d t} (3 t^{2}) = 6 t

\frac{d}{d t} (27) = 0

= 6 t - 0

Simplify

= 6 t