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Home  /  Thomas' Calculus: Early Transcendentals (15e)  /  Chapter 4 · Applications of Derivatives
Section 4.4

Concavity and Curve Sketching

Concavity, inflection points, the Second Derivative Test, and curve sketching

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Chapter 4 · Applications of Derivatives
Lesson

Lesson on Concavity and the Second Derivative Test for Concavity

Examples

Examples on Concavity and the Second Derivative Test for Concavity

Lesson

Lesson on The Second Derivative Test for Extrema

Examples

Examples of The Second Derivative Test for Extrema

Lesson

Lesson on Curve Sketching

Examples

Example of Curve Sketching with a Polynomial

Examples

Example of Curve Sketching with a Trigonometric Function

Examples

Example of Curve Sketching with Rational Exponents and a Cusp

Examples

Example of Curve Sketching with Exponentials e^x and e^-x

Examples

Examples of Curve Sketching When You Only Know y'