What is the difference between instantaneous velocity and instantaneous rate of change?
One type of rate of change is velocity, which is the rate at which a position changes in relation to time.
Velocity is one example of the more general concept of rate of change.
This remains unchanged even with the use of the word "instantaneous".
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Instantaneous velocity refers specifically to the rate of change of displacement with respect to time at a specific instant. It is a vector quantity that describes the direction and magnitude of an object's motion at a given moment in time.
Instantaneous rate of change, on the other hand, is a more general concept and can refer to the rate of change of any quantity with respect to another independent variable at a specific point. It does not necessarily have to be related to motion. For example, it could represent the rate of change of temperature with respect to time, or the rate of change of population with respect to time.
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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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