What is the derivative of a(t)=t^3-12t ?

The derivative of a(t)=t^3-12t is 3t^2-12

What is the first derivative of a(t)=t^3-12t ?

The first derivative of a(t)=t^3-12t is 3t^2-12

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derivative of

a (t) = t^{3} - 12 t

3 t^{2} - 12

Solution steps

\frac{d}{d t} (t^{3} - 12 t)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (12 t)

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

\frac{d}{d t} (12 t) = 12

= 3 t^{2} - 12

What is the derivative of a(t)=t^3-12t ?
The derivative of a(t)=t^3-12t is 3t^2-12
What is the first derivative of a(t)=t^3-12t ?
The first derivative of a(t)=t^3-12t is 3t^2-12