Chapter 3 Videos

Free Quiz to Test Yourself on the All Derivative Formulas:

Section 3.1/3.2 (Combined)

  • Lesson 1: An Intro to the Derivative

  • Examples: Using the Derivative Formula and Finding Tangent Lines

  • Examples: Using the Alternative Formula

  • Step-by-Step Examples: The Definition of the Derivative Formula vs the Alternative Formula - which is better? Which do I use?

  • Examples: Using the Derivative Formula with a Square Root in the Denominator

  • Lesson 2: Some Other Notes on Derivatives (One-Sided Derivatives, Graphs of Derivatives)

Section 3.3

  • Lesson1: Basic Differentiation Rules

  • Examples: Writing Equations for Tangent Lines (all examples)

  • Example: Finding the Points on a Function Where the Tangent Lines are Perpendicular to Another Line

  • Lesson 2: Second Derivatives and Higher

  • Examples: The Constant, Constant Multiple, Sum, and Power Rules

  • Examples: Product and Quotient Rule Only

  • Step-by-Step Examples: The Quotient Rule (fully worked out details)

  • Examples: The Basic Quotient Rule Only (Setup Type Problems)

Section 3.4

  • Lesson 1: Position, Velocity, and Acceleration from a Calculus Standpoint

  • Example: Position, Velocity, Acceleration, and Total Distance

  • Examples: Interpreting Position/Velocity/Acceleration/Speed from a Graph

Section 3.5

Section 3.6

  • Lesson 1: Intro to the Chain Rule

  • Food for Thought: What I Used to Do When I Was Feeling Overwhelmed or “Over” Being in School

  • Examples: The Chain Rule Galore, tons of different kinds of examples

  • Lesson: Help! The Chain Rule is Messing with My Head! (product/quotient/weird compositions + chain rule help)

  • Examples: Really Hard Chain Rule Examples, with product and quotient rule too

  • Step-by-Step Example: The Chain Rule with the Quotient Rule (messy algebra)

  • Examples: The Chain Rule with Trig Functions

  • Examples: Finding Second Derivatives with the Chain Rule

Section 3.7

  • Lesson 1: Intro to Implicit Differentiation

  • Examples: Implicit Differentiation

  • Step-by-Step Example: Implicit Differentiation with the Product Rule

  • Review: How to Clear Fractions within Fractions (Complex Fractions)

  • Lesson 2: Implicit Differentiation, Tangent Lines, and Normal Lines

  • Examples: Finding Tangent and Normal Lines at a Given Point

  • Examples: Finding Tangent and Normal Lines from Other Information

  • Lesson 3: Second Derivatives with Implicit Differentiation

  • Examples: Second Derivatives with Implicit Differentiation

  • Step-by-Step Example: Second Derivatives, Implicit Differentiation, and Getting a Fraction within a Fraction

Section 3.8

  • Lesson 1: Derivatives of Inverse Functions and Logarithms

  • Lesson 2: How to Calculate the Derivatives of General Exponentials and Logarithms

  • Examples: Calculating Derivatives of Exponentials and Logarithms

  • Review: A Quick Review Logarithms and Properties of Logarithms for Calc Students

  • Examples: Using Properties of Logarithms to Simplify Derivatives

  • Lesson 3: How to Use Logarithmic Differentiation

  • Examples: Logarithmic Differentiation

Section 3.9

  • Lesson 1: How to Find the Derivatives of Inverse Trig Functions

  • Examples: Derivatives of Inverse Trig Functions

Section 3.10

  • Lesson 1: Understanding Related Rates with an Example

  • Example: Related Rates - Volume

  • Example: Related Rates - Two Moving Objects

  • Example: Related Rates - a Cone Draining into a Cylinder

  • Examples: Related Rates - Examples with Angle Measure Type Problems

Section 3.11