The position of an object at time t is given by s(t) = -9 - 3t. find the instantaneous velocity at t = 8 by finding the derivative.

Hello! There are a few ways to find the derivative. One famous formula is below:

Note, t = x = 8

To find the derivative of s(t) = -9 - 3t let insert it into our formula:

Insert x = 8

Do the Math

Group Like Terms

Cancel Terms and Finish Doing The Math

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So when t = 8 the instantaneous velocity = -3

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step-by-step explanation: