AP Calc AB Review for Test 13-18

Front

A particle's speed is increasing if

Back

its velocity and acceleration have the same sign.

Front

The acceleration function is the second derivative of...

Back

position.

Front

What are the conditions that satisfy the Mean Value Theorem?

Back

Continuous on the closed interval and differentiable on the open interval, then there exists at least one number c in (a,b) such that f'(c) = (f(b) - f(a)) / (b - a).

Front

Back

Front

Which of the following is true for the function shown above?

Back

f is continuous at x = 6.

Front

What is the definition of differentiability?

Back

A function is differentiable at a point if it has a defined derivative at that point.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Front

What is the relationship between velocity and acceleration?

Back

Velocity is the first derivative of position, and acceleration is the first derivative of velocity.

Front

What is the formula for the Mean Value Theorem?

Back

f'(c) = (f(b) - f(a)) / (b - a) for some c in (a, b).

Front

How do you determine if a function is differentiable at a point?

Back

Check if the limit of the difference quotient exists as it approaches that point.