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Home  /  Calculus: Single and Multivariable (8e)  /  Chapter 4 · Using the Derivative
Section 4.1

Using First and Second Derivatives

Critical points, concavity, inflection points; sketching graphs from first and second derivatives.

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Chapter 4 · Using the Derivative
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'