Related Rates + Other Review

Front

What is the formula for the area of a circle?

Back

Front

What is the relationship between the radius and area of a circle in related rates problems?

Back

Front

How do you find the rate of change of the volume of a sphere?

Back

Front

What does it mean for a function to have a horizontal tangent line?

Back

Front

What is the significance of f'(x) changing from negative to positive?

Back

If f'(x) changes from negative to positive at x, then f(x) has a local minimum at that point.

Front

What is the Pythagorean theorem and how is it used in related rates problems?

Back

Front

How do you determine the rate at which a ladder is sliding down a wall?

Back

Use the Pythagorean theorem to relate the height of the ladder on the wall and the distance from the wall, then differentiate with respect to time.

Front

What is the formula for the volume of a sphere?

Back

Front

Back

Front

What is the rate of change of the area of a circle when the radius is increasing?

Back