AP Calculus - Function Analysis

Front

If f'(x) > 0, then f(x) is

Back

Increasing

Front

Which 'test' is used to find absolute extrema on a closed interval?

Back

Candidate's Test

Front

Which 'test(s)' can be used to identify a relative max/min?

Back

Both the 1st & 2nd Derivative Tests

Front

How do I find a critical point on f(x)?

Back

When f'(x) = 0 or is undefined

Front

If f''(x) < 0, the curve is

Back

Concave Down

Front

What does f'(x) = 0 indicate?

Back

Potential critical points where the function may change from increasing to decreasing or vice versa.

Front

What is the First Derivative Test used for?

Back

To determine whether a critical point is a local maximum or minimum.

Front

What does f''(x) > 0 indicate about the function?

Back

The function is concave up.

Front

What is the purpose of the Second Derivative Test?

Back

To determine the concavity of the function and identify relative extrema.

Front

What is a critical point?

Back

A point on the graph of a function where the derivative is zero or undefined.