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Instructor Resources

Video: Sketching a Graph Given the First Derivative

Course Overview

Video: Sketching a Graph Given the First and Second Derivatives

Basics of Derivatives

Video: Graphing Function

Why It Matters

Putting It Together

Reading: Concept of Derivative

Revenue and Profit

Video: Introduction to Derivatives

Why It Matters

Interactive: Visualizing a Function and Its Derivative

Reading: Applied Optimization, Part I

Reading: Instantaneous Rate of Change and Tangent Lines

Interactive: Maximizing Volume

Video: Average Rate of Change

Video: Max and Min

Interactive: Average vs. Instantaneous Rate of Change

Video: Max Revenue

Interactive: Comparing Average Rate vs. Instantaneous Rate

Video: Max Profit

Reading: Tangent Lines

Reading: Applied Optimization, Part II

Interactive: Slope and the Derivative of a Function

Reading: Marginal Cost

Interactive: Tangent of f(x)

Video: Total and Marginal Cost (no derivative)

Differerentiate Linear Functions

Video: Marginal Cost, Revenue, and Profit (derivatives)

Reading: Derivatives Formulas

Reading: Elasticity

Differentiate Polynomial Functions

Video: Elasticity of Demand

Differentiate Radical and Rational Functions

Putting It Together

Video: Derivative of Basic Rational Functions

Totals from Rates of Change

Video: The Product Rule

Why It Matters

Video: The Quotient Rule

Reading: The Definite Integral

Video: The Chain Rule

Video: Area under the Curve Using Geometric Shapes

Differentiate Functions

Video: Area under the Curve Using Rectangles

Video: Derivatives of exponential functions with Base e

Video: Definition of the Definite Integral

Video: Higher Order Derivatives

Video: Interpret the Meaning of Area under the Curve

Interactive: How a Function and Its First and Second Derivative Are Related Graphically

Reading: Antiderivative Formulas

Putting It Together

Video: The Antiderivative

Instantaneous Rate of Change of a Function

Reading: Application of the Definite Integral

Why It Matters

Reading: The Definite Integral Applied to Area

Reading: Examples of Instantaneous Rates of Change

Video: Area between Two Curves

Video: Relative Extrema of a Function

Reading: Accumulation in Real Life

Video: Absolute Extrema

Reading: Average Value

Reading: Optimization

Video: Average Value

Video: Critical Points

Video: Equilibrium Point

Reading: Curve Sketching

Reading: Basics of Exponential Models

Video: Finding Where a Function Is Increasing and Decreasing

Reading: Continuous Income Stream

Video: Second Derivative Test for Max and Min

Video: Present and Future Values

Reading: Second Derivative and Concavity

Reading: Consumer and Producer Surplus

Video: Concavity of a Function

Video: Consumer and Producer Surplus

Video: Inflection Points

Interactive: Consumer Surplus

Video: Graphing a Function Using the First and Second Derivatives

Putting It Together