Section 4.5
Derivatives and the Shape of a Graph
First and second derivative tests; concavity; inflection points; curve sketching
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Chapter 4 · Applications of Derivatives
Lesson
Lesson on Increasing and Decreasing Functions and the First Derivative Test
Examples
Examples of Finding Intervals of Increasing or Decreasing and Using the First Derivative Test
Examples
Examples of Finding Intervals of Increasing or Decreasing and Using the First Derivative Test (Basic)
Examples
Examples of Finding Intervals of Increasing or Decreasing and Using the First Derivative Test (Hard)
Examples
Examples of The First Derivative Test for a Function with Rational Exponents
Lesson
Lesson on Concavity and the Second Derivative Test for Concavity
Examples
Examples on Concavity and the Second Derivative Test for Concavity
Examples
Examples of The Second Derivative Test for Extrema
Examples
Example of Curve Sketching with a Trigonometric Function
Examples
Example of Curve Sketching with Rational Exponents and a Cusp
Examples