Derivative of $$$t^{3}$$$
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Your Input
Find $$$\frac{d}{dt} \left(t^{3}\right)$$$.
Solution
Apply the power rule $$$\frac{d}{dt} \left(t^{n}\right) = n t^{n - 1}$$$ with $$$n = 3$$$:
$${\color{red}\left(\frac{d}{dt} \left(t^{3}\right)\right)} = {\color{red}\left(3 t^{2}\right)}$$Thus, $$$\frac{d}{dt} \left(t^{3}\right) = 3 t^{2}$$$.
Answer
$$$\frac{d}{dt} \left(t^{3}\right) = 3 t^{2}$$$A
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