What is the first derivative of 3t^2 ?

The first derivative of 3t^2 is 6t

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derivative of 3t^2

derivative of

3 t^{2}

6 t

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 \cdot 2 t^{2 - 1}

Simplify

= 6 t