How do you find the instantaneous velocity of a function at a point?

Answer 1
If you wish to find the instantaneous velocity of a position function #f(t)# at #t=a#, then it can be found by computing #f'(a)#.

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Answer 2

To find the instantaneous velocity of a function at a point, you need to find the derivative of the function with respect to time, and then evaluate it at the specific point in question. Mathematically, this process is represented as follows:

  1. Differentiate the function with respect to time to find its derivative. This derivative represents the rate of change of the function with respect to time, which is the velocity function.

  2. Once you have the velocity function, plug in the specific value of time (or point) at which you want to find the instantaneous velocity.

  3. The resulting value is the instantaneous velocity of the function at that point.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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