# How can instantaneous velocity be found from a displacement-time graph?

A similar question was asked and answered here: https://tutor.hix.ai Simply substitute "displacement" for any mentions of "position" or "time."

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Instantaneous velocity can be found from a displacement-time graph by determining the slope of the tangent line to the curve at a specific point on the graph. This slope represents the rate of change of displacement with respect to time at that particular instant, which is the instantaneous velocity.

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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.

- What is the average value of the function #h (x) = 3/(1 + x)^2# on the interval #[0,2]#?
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- How do you find f'(x) using the limit definition given #f (x) = -(2/3x) #?
- Using the limit definition, how do you find the derivative of #y = x^2 + x + 1 #?

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