Topic: Concavity and Inflection

Deriving the Second Derivative Test

Concavity of Sums and Scalar Multiples

Concavity Under Vertical and Horizontal Transformations

Concavity of Composite Functions

Concavity of Inverse Functions

Concavity Defined by Chord Slopes

Concavity from a Graph of f’

Concavity Across Piecewise Joins

Concavity and Monotonicity of the First Derivative

Common Sign-Chart Errors in Concavity Problems