• #### Concavity and Inflection Points - Problem 2

##### Math›Calculus›Applications of the Derivative
How to show that a function is discontinuous at a point x=a because its limit and its value at x=a are different.
Tags:
None
• #### Curve Sketching with Derivatives - Problem 2

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function using continuity.
Tags:
None
• #### Average Value of a Function - Concept

##### Math›Calculus›The Definite Integral
How to find the average value of a function over an interval [a,b].
• #### The Definite Integral - Problem 1

##### Math›Calculus›The Definite Integral
How to use geometry to find the definite integral.
• #### The Definite Integral - Problem 2

##### Math›Calculus›The Definite Integral
How to evaluate a definite integral that involves a parabola.
• #### The Definite Integral - Problem 3

##### Math›Calculus›The Definite Integral
How to approximate a definite integral with rectangular sums.
• #### The Definition of the Derivative - Problem 3

##### Math›Calculus›The Derivative
How to compute the derivative using the definition, and how to find an equation of the line tangent to its graph at a point.
• #### Average Value of a Function - Problem 3

##### Math›Calculus›The Definite Integral
How to find the average value of a function over an interval [a,b].
• #### Average Value of a Function - Problem 1

##### Math›Calculus›The Definite Integral
How to find the average value of a function over an interval [a,b].
• #### Optimization Using the Closed Interval Method - Problem 1

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.
Tags:
None
• #### Optimization Using the First Derivative Test - Concept

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.
Tags:
None
• #### Curve Sketching with Derivatives - Problem 4

##### Math›Calculus›Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.
Tags:
None
• #### Approximating Area Using Rectangles - Concept

##### Math›Calculus›The Definite Integral
How to approximate the area under a curve using rectangles.
• #### Derivatives of Logarithmic Functions - Concept

##### Math›Calculus›The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
• #### Approximating Area Using Rectangles - Problem 3

##### Math›Calculus›The Definite Integral
How to estimate the area between a curve and the x-axis with left- and right-hand sums.
• #### Computing Definite Integrals using Substitution - Problem 1

##### Math›Calculus›The Definite Integral
How to evaluate definite integrals using the method of substitution.
• #### Computing Definite Integrals using Substitution - Concept

##### Math›Calculus›The Definite Integral
How to evaluate definite integrals using the method of substitution.
• #### Computing Definite Integrals using Substitution - Problem 3

##### Math›Calculus›The Definite Integral
How to evaluate definite integrals using the method of substitution.

• #### Instantaneous Rate of Change - Concept

##### Math›Calculus›The Derivative
How to estimate the instantaneous rate liquid is pouring out of a container at t=4 by computing average rates of change over shorter and shorter intervals of time.