Calculus AB Exam 2024 S1 part 1

Front

What is concavity in calculus?

Back

Concavity refers to the direction in which a curve bends. A function is concave up if its second derivative is positive, and concave down if its second derivative is negative.

Front

How do you determine intervals of concavity for a function?

Back

To determine intervals of concavity, find the second derivative of the function. Set the second derivative equal to zero to find potential inflection points, then test intervals around these points.

Front

What is an inflection point?

Back

An inflection point is a point on the graph of a function where the concavity changes, which can be found by analyzing the second derivative.

Front

What is the second derivative test for concavity?

Back

Front

Back

Front

Back

Front

Back

Front

Back

Front

Back

Front

Define the Fundamental Theorem of Calculus.

Back