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Section 9.1: Limits
TopicVideosPractice Problems
Limits (Using graphs) Intro to limits
One-Sided Limits One-sided limits from graphs One-sided limits from graphs practice
Limits (Using functions) Limit example Two-sided limits using Algebra
Limit properties Limit properties
0/0 Indeterminate Form Limit by factoring Limits 2
a/0 Indeterminate Form
Limits of peicewise-defined functions

Section 9.2: Continuous Functions; Limits at Infinity
TopicVideosPractice Problems
Continuous functions Limits to define continuity
Discontinuous functions Point of discontinuity
Limits at Infinity Limits at infinity
Horizontal Asymptotes Limits at positive and negative infinity

Section 9.3: Rates of Change and Derivatives
TopicVideosPractice Problems
Average rate of change Slope of secant lines
Derivative The derivative example
Instantaneous rate of change
Marginal revenue
Slope of the tangent Derivative intuition Derivative intuition practice
Equation of the tangent line Find a linear equation given a point and slope
Approximations of the derivative Approximating instantaneous rate of change

Section 9.4: Derivative Formulas
TopicVideosPractice Problems
Powers of x rule Power rule Power rule practice
Derivative of a constant Derivative properties
Coefficient rule Derivative properties
Sum and difference rules Derivative properties and polynomial derivatives Derivative properties and polynoial derivatives practice
Horizontal tangents Graphs of functions and their derivatives practice

Section 9.5: The Product Rule and the Quotient Rule
TopicVideosPractice Problems
Product rule
Quotient rule   Quotient rule practice

Section 9.6: The Chain Rule
TopicVideosPractice Problems
Composite functions Creating a new function from composition
Chain rule Chain rule definition and example

Section 9.8: Higher-Order Derivatives
TopicVideosPractice Problems
Second derivative
Rate of change of a derivative

Section 9.9: Applications; Marginals and Derivatives
TopicVideosPractice Problems
Marginal revenue
Marginal Cost
Marginal profit

Section 10.1: Relative Maxima and Minima
TopicVideosPractice Problems
Relative maxima and minima Relative maxima and minima Extreme values from graphs
Increasing and decreasing functions
Finding relative maxima and minima Identifying maxima and minima
maxima, minima, and horizontal points of inflection

Section 10.2: Concavity; Points of Inflection
TopicVideosPractice Problems
Concave up and concave down
Point of Inflection Inflection points

Section 10.3: Optimization in Business and Economics
TopicVideosPractice Problems
Absolute maximum and minimum Applying extreme value theorem Extreme value theorem
Maximizing revenue and profit Optimizing profit
Minimizing cost Minimizing the cost of a storage container
Average cost

Section 11.1: Derivatives of Logarithmic Functions
TopicVideosPractice Problems
Derivatives involving ln(x)   Special derivatives
Derivatives of y=ln(u)
Derivatives using log properties Derivatives using log properties

Section 11.2: Derivatives of Exponential Functions
TopicVideosPractice Problems
Derivative of an exponential function   Special derivatives
Derivative of e^u

Section 12.1: Indefinite Integrals
TopicVideosPractice Problems
Antidifferentiation Antiderivatives and indefinite integrals
Powers of x

Section 12.2: The Power Rule
TopicVideosPractice Problems
Differentials U-substitution
Power rule for integration (U-sunstitution)

Section 12.3: Integrals Involving Exponential and Logarithmic Functions
TopicVideosPractice Problems
Integral of an exponential U-substitution
Graphs of functions and integrals Visually determining antiderivative Graphs of antiderivatives
Integral resulting in a logarithmic function

Section 12.4: Applications of the Indefinite Integral in Business and Economics
TopicVideosPractice Problems
Total cost
Maximum profit
Cost, revenue, and profit
Finding the constant of integration Velocity and position from acceleration
National consumption and savings

Section 13.1: Area Under a Curve
TopicVideosPractice Problems
Area under a curve Simple Riemann approximation using rectangles

Section 13.2: The Definite Integral; The Fundamental Theorem of Calculus
TopicVideosPractice Problems
Definite integral definition Riemann sums and integrals
Fundamental Theorem of Calculus
Definite integrals Examples leveraging integration properties
Properties of definite integrals Properties of integrals
Area under a curve

Section 13.3: Area Between Two Curves
TopicVideosPractice Problems
Area between two curves Area between curves
Area enclosed by two curves Area between curves with multiple boundaries
Average value

Section 13.4: Applications of Definite Integrals in Business and Economics
TopicVideosPractice Problems
Consumer's surplus Total consumer surplus as area
Producer's surplus Producer surplus

Section 14.1: Functions of Two or More Variables
TopicVideosPractice Problems
Domain
Function values Example: evaluating expressions with two variables

Section 14.2: Partial Differentiation
TopicVideosPractice Problems
Partial Derivatives Partial derivatives
Partial derivative at a point

Section 14.3: Applications of Functions of Two Variables in Business and Economics
TopicVideosPractice Problems
Joint cost
Marginal demand functions