Derivative of $$$t^{12}$$$
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Your Input
Find $$$\frac{d}{dt} \left(t^{12}\right)$$$.
Solution
Apply the power rule $$$\frac{d}{dt} \left(t^{n}\right) = n t^{n - 1}$$$ with $$$n = 12$$$:
$${\color{red}\left(\frac{d}{dt} \left(t^{12}\right)\right)} = {\color{red}\left(12 t^{11}\right)}$$Thus, $$$\frac{d}{dt} \left(t^{12}\right) = 12 t^{11}$$$.
Answer
$$$\frac{d}{dt} \left(t^{12}\right) = 12 t^{11}$$$A
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