Unit 3 AP Calculus AB review

Front

What is the formula for the position of a particle moving along a line?

Back

Front

How do you find the speed of a particle when its acceleration is zero?

Back

To find the speed when acceleration is zero, first find the acceleration function by differentiating the position function twice, then set the acceleration function to zero and solve for time. Finally, substitute that time into the velocity function.

Front

What is the relationship between the derivatives of two functions when their tangent lines are parallel?

Back

Two functions have parallel tangent lines at a point if their derivatives (slopes) are equal at that point.

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Back

Front

Back

Front

How do you determine the x-value where two functions have parallel tangent lines?

Back

Set the derivatives of the two functions equal to each other and solve for x.

Front

What is the formula for the slope of the tangent line to the graph of a function?

Back

The slope of the tangent line at a point is given by the derivative of the function evaluated at that point.

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Back

This function can be used to explore concepts of differentiation, particularly the product rule and the chain rule.

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Back

Front

What is the significance of finding the slope of the tangent line equal to a specific value?

Back

Finding the slope equal to a specific value helps identify points on the graph where the function behaves in a certain way, such as increasing or decreasing at that rate.