Calc AB Unit 4-5 Test Review Vocab & Justifications

Front

The concavity of a function is described by its _______________.

Back

second derivative

Front

Which equation is correct for the situation where the area of a circle is increasing at a rate of 3 inches squared per second?

Back

Front

Does the mean value theorem apply to g on [-2, 5]?

Back

yes

Front

How many extrema are there if the sign chart shows 2 changes in sign?

Back

2

Front

Does the mean value theorem apply to f on [0, 5]?

Back

no

Front

What is the definition of the Mean Value Theorem?

Back

Front

What does the first derivative of a function indicate?

Back

The first derivative indicates the slope of the tangent line to the function, which shows whether the function is increasing or decreasing.

Front

What does the second derivative of a function indicate?

Back

The second derivative indicates the concavity of the function; if positive, the function is concave up, and if negative, concave down.

Front

What is the relationship between the first derivative and critical points?

Back

Critical points occur where the first derivative is zero or undefined, indicating potential local maxima or minima.

Front

What is the formula for the area of a circle?

Back