Derivative of $$$a - t$$$ with respect to $$$t$$$
The calculator will find the derivative of $$$a - t$$$ with respect to $$$t$$$, with steps shown.
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Your Input
Find $$$\frac{d}{dt} \left(a - t\right)$$$.
Solution
The derivative of a sum/difference is the sum/difference of derivatives:
$${\color{red}\left(\frac{d}{dt} \left(a - t\right)\right)} = {\color{red}\left(\frac{da}{dt} - \frac{d}{dt} \left(t\right)\right)}$$The derivative of a constant is $$$0$$$:
$${\color{red}\left(\frac{da}{dt}\right)} - \frac{d}{dt} \left(t\right) = {\color{red}\left(0\right)} - \frac{d}{dt} \left(t\right)$$Apply the power rule $$$\frac{d}{dt} \left(t^{n}\right) = n t^{n - 1}$$$ with $$$n = 1$$$, in other words, $$$\frac{d}{dt} \left(t\right) = 1$$$:
$$- {\color{red}\left(\frac{d}{dt} \left(t\right)\right)} = - {\color{red}\left(1\right)}$$Thus, $$$\frac{d}{dt} \left(a - t\right) = -1$$$.
Answer
$$$\frac{d}{dt} \left(a - t\right) = -1$$$A