Concavity and Inflection Points - Concept

Concept Concept (1)

Inflection points are points on the graph where the concavity changes. A positive second derivative means a function is concave up, and a negative second derivative means the function is concave down. These inflection points are places where the second derivative is zero, and the function changes from concave up to concave down or vice versa.

Sample Sample Problems (3)

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Concavity and Inflection Points - Problem 1
Problem 1
How to determine intervals of concavity and find inflection points of a polynomial.
Concavity and Inflection Points - Problem 2
Problem 2
How to determine intervals of concavity and find inflection points of a function with use of the product rule.
Concavity and Inflection Points - Problem 3
Problem 3
How to determine intervals of concavity and find inflection points of function when its first derivative is a rational function.