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