# Can instantaneous rate of change be negative?

This is also evident in physics: if your acceleration, or rate of change of velocity, is positive, you are moving in a "positive" direction (e.g., towards the right on a number line); if it is negative, you are moving in a "negative" direction (e.g., towards the left on the number line). Additionally, if your acceleration, or rate of change of velocity, is positive, you are increasing; if it is negative, you are decreasing.

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Yes, the instantaneous rate of change can be negative. This occurs when the function is decreasing at a particular point, meaning that the slope of the tangent line to the curve at that point is negative.

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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 equation of the tangent line of #f(x)=(2x+1)/(x+2) # at #x=1#?
- What is the equation of the tangent line of #f(x) =cos2x+sin2x+tanx# at #x=pi/8#?
- How do you find the average slope of this function # f(x)=3x^3−2x# on the interval (2,4)?
- How do you find the rate of change of y with respect to x?
- How do you find the equation of the line tangent to the graph of #f(x)=2x^2# at x=-1?

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