Unit 4 Review

Front

What is the formula for average velocity?

Back

Average velocity = (s(t2) - s(t1)) / (t2 - t1)

Front

What does MVT stand for in calculus?

Back

Mean Value Theorem.

Front

What is the Mean Value Theorem (MVT)?

Back

If a function is continuous on [a, b] and differentiable on (a, b), then there exists at least one c in (a, b) such that f'(c) = (f(b) - f(a)) / (b - a).

Front

How do you find critical points of a function?

Back

Set the derivative f'(x) = 0 and solve for x.

Front

What are absolute extrema?

Back

The highest and lowest values of a function on a given interval.

Front

What is the relationship between the first derivative and increasing/decreasing functions?

Back

If f'(x) > 0, the function is increasing; if f'(x) < 0, the function is decreasing.

Front

What is acceleration?

Back

The rate of change of velocity with respect to time.

Front

How do you determine if an object has positive acceleration?

Back

If the velocity of the object is increasing over time.

Front

What are endpoints of an interval?

Back

The values at the boundaries of the interval, such as a and b in [a, b].

Front

What is a relative minimum?

Back

A point where the function value is lower than the values of the function at nearby points.