Curve/Derivative Sketching

Definition

Curve/derivative sketching involves analyzing the behavior of a function and its derivative to determine key features such as critical points, inflection points, and concavity.

Related terms

Critical Points:

These are the points on a graph where the derivative is either zero or undefined.

Inflection Points:

These are points on a graph where the concavity changes from upward to downward or vice versa.

Concavity:

It refers to whether a graph is bending upwards (concave up) or downwards (concave down).