Instructional Video
Khan Academy

Khan Academy: Calculus: 2011 Calculus Ab Free Response #4C

9th - 10th
Video shows how to find the points of inflection of an unusal function by looking at a graph of the first derivative of the function. [4:24]
Instructional Video
Khan Academy

Khan Academy: Calculus: 2011 Calculus Ab Free Response #4B

9th - 10th
Video shows how to determine the absolute maximum of a function over an interval by finding the value of the function at both ends of the interval and at any critical values. [13:15]
Instructional Video
Khan Academy

Khan Academy: Calculus: Calculus: Graphing Using Derivatives

9th - 10th
Video lesson using the first and second derivatives to find critical and inflection points and to graph a polynomial function. [20:31]
Instructional Video
Khan Academy

Khan Academy: Calculus: Calculus Bc 2008 #2B & C

9th - 10th
Video lesson solving the second part and the third part of a free response problem from the 2008 AP Calculus BC exam about people waiting in line to purchase tickets. Solution requires finding a trapezoidal sum and critical points. [10:42]
Instructional Video
Khan Academy

Khan Academy: Calculus: Calculus: Graphing With Derivatives Example

9th - 10th
Video lesson using the first and second derivatives to find critical and inflection points and to graph a natural logarithm function. [25:08]
Instructional Video
Sophia Learning

Sophia: Reading a Phase Diagram: Lesson 1

9th - 10th
This lesson will define and locate the triple point and critical point on a phase diagram and illustrate how to extract other specific date points from the graph. It is 1 of 2 in the series titled "Reading a Phase Diagram."
Instructional Video
Crash Course

Crash Course Physics #21: Kinetic Theory and Phase Changes

9th - 10th
How the heck do we map out a planet without oceans? NASA had to figure that out when we sent the Mariner 9 probe to Mars. There's some tricky, yet fascinating science behind all of it! In this video episode of Crash Course Physics, Shini...
Instructional Video
Sophia Learning

Sophia: Reading a Phase Diagram

9th - 10th
A video lecture which demonstrates how to locate the triple point and critical point on a phase diagram. [5:39]
Instructional Video
Sophia Learning

Sophia: Using Concavity to Optimize: Lesson 2

9th - 10th
This lesson practices isolating extremes using concavity of a function. It is 2 of 6 in the series titled "Using Concavity to Optimize."
Instructional Video
Sophia Learning

Sophia: Using Concavity to Optimize: Lesson 3

9th - 10th
This lesson practices isolating extremes using concavity of a function. It is 3 of 6 in the series titled "Using Concavity to Optimize."
Instructional Video
Sophia Learning

Sophia: Using Concavity to Optimize: Lesson 4

9th - 10th
This lesson practices isolating extremes using concavity of a function. It is 4 of 6 in the series titled "Using Concavity to Optimize."
Instructional Video
Sophia Learning

Sophia: Inflection: Lesson 1

10th - 12th Standards
This lesson introduces the concept of the inflection point and explains how it is related to the second derivative and shape of a function. It is 1 of 5 in the series titled "Inflection."
Instructional Video
Sophia Learning

Sophia: Inflection: Lesson 3

10th - 12th Standards
This lesson introduces the concept of the inflection point and explains how it is related to the second derivative and shape of a function. It is 3 of 5 in the series titled "Inflection."
Instructional Video
Sophia Learning

Sophia: Using Concavity to Optimize: Lesson 1

9th - 10th
This lesson practices isolating extremes using concavity of a function. It is 1 of 6 in the series titled "Using Concavity to Optimize."
Instructional Video
Sophia Learning

Sophia: Using Concavity to Optimize: Lesson 6

9th - 10th
This lesson practices isolating extremes using concavity of a function. It is 6 of 6 in the series titled "Using Concavity to Optimize."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 2

9th - 10th Standards
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 2 of 6 in the series titled "Finding the Intervals of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 3

9th - 10th Standards
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 3 of 6 in the series titled "Finding the Intervals of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 5

9th - 10th Standards
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 5 of 6 in the series titled "Finding the Intervals of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Intervals of a Function: Lesson 6

9th - 10th
This lesson practices using the derivative to establish various kinds of endpoints for intervals of a function. It is 6 of 6 in the series titled "Finding the Intervals of a Function."