AP Calculus - Function Analysis

Front

What is a point of inflection?

Back

Where there is a change in concavity.

Front

If f''(x) > 0, the curve is...

Back

Concave Up.

Front

What are critical points on a curve?

Back

The location of a possible maximum or minimum.

Front

'global' means the same as... (in calculus)

Back

absolute.

Front

'local' is the same as...

Back

relative.

Front

What does it mean if f'(x) = 0?

Back

It indicates a critical point where the function may have a maximum or minimum.

Front

What is the first derivative test used for?

Back

To determine whether a critical point is a local maximum, local minimum, or neither.

Front

What does f''(x) < 0 indicate about the graph of f?

Back

The graph is concave down.

Front

What is the difference between absolute and relative extrema?

Back

Absolute extrema are the highest or lowest points over the entire domain, while relative extrema are the highest or lowest points in a specific interval.

Front

How do you find the inflection points of a function?

Back

By finding where the second derivative changes sign.