Calculus Graph Vocabulary

Vocab for First and Second Derivative Test

8 cards·by sheridan.aj

First Derivative Test

Determines if a function is increasing (+), decreasing (-), or at a critical point (0).

Second Derivative Test

Determines if a function is concave up (+), concave down (-), or at an inflection point (0).

Inflection Point

When the second derivative test = 0 the concavity of the graph changes.

Critical Point

Flat point on a graph which can be a local minimum, local maximum, or neither.

Local Minimum

Point where the y' is 0 and y' is negative to the left and positive to the right.

Local Maximum

Point where y' is 0 and y' is positive to the left and negative to the right.

Concave Up

A portion of a graph shaped like a right-side-up bowl.

Concave Down

A portion of a graph shaped like an upside-down bowl.