Khan Academy
Khan Academy: Multivariable Calculus: Partial Derivatives
Video lesson introducing partial derivatives by showing a 3-D coordinate system and solving an example. [11:11]
Khan Academy
Khan Academy: Multivariable Calculus: Gradient of a Scalar Field
Video finding a gradient in three dimensions by using an example about temperature in a 3-D room. Graph of the vector field found in the solution is shown. [10:54]
Khan Academy
Khan Academy: Multivariable Calculus: Partial Derivatives 2
Video lesson continuing an introduction to partial derivatives by looking at an example differentiated with respect to a different variable. A 3-D graph is included to help visualize the solution. Various examples without graphs are also...
Khan Academy
Khan Academy: Multivariable Calculus: Gradient 1
Video lesson introducing gradients in two dimensions by calculating a gradient and then explaining what it is using a 3-D graph. [9:45]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #5B
Video shows how to find the second derivative of a function and use it to determine if the answer found in the previous video which used the slope of the tangent line is an underestimate or overestimate. [8:18]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #2 (A & B)
Video shows how to use a table of values to determine the approximate rate of change at a given time. Also explains what a definite integral means in terms of the situation and shows how to use a trapezoidal sum to estimate the integral....
Khan Academy
Khan Academy: Calculus: Partial Derivatives of Vector Valued Functions
Video showing how to take the partial derivatives of a generalized vector-valued function by taking the partial derivative of each part of the function. Video is meant as a build-up to the videos on surface integrals. [10:07]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Bc Free Response #1A
Video shows how to find the velocity and acceleration vectors of a particle at a given time by using the derivatives of the parametric equations representing the particle. Also shows how to find the magnitude of the velocity vector in...
Dartmouth College
Dartmouth College: Mqed: That's Calculus!: Episode 6 and 7: In Search of the Derivative
The resource examines derivative applications. In these video lessons Josh finds examples of the derivative in the real world with the help of several scientists and a policeman.
Math TV
Math tv.com: Calculus: Derivatives (Definitions)
Students learn about the definition of the derivative. The learning resource consists of video tutorials with detailed examples. A worksheet with practice problems and an online textbook are included. In the left hand menu, click on...
Crash Course
Crash Course Physics #2: Derivatives
Let the host from Crash Course Physics talk through derivatives and how calculus helps people understand the world around them. [10:01]
Khan Academy
Khan Academy: Calculus: Extreme Derivative Word Problem (Advanced)
Video lesson solving a word problem about the graph of a parabola and normal lines using derivatives. Problem contains 2 parts but only the first part is solved. [23:13]
Khan Academy
Khan Academy: Graphing With Derivatives
Using the first and second derivatives to identify critical points and inflection points to graph the function.
Khan Academy
Khan Academy: Optimization With Calculus: Optimizing Profit at a Shoe Factory
This video shows how can you optimize your profit.
Khan Academy
Khan Academy: Optimal Angle for Projectile Pt. 4: Optimal Angle and Distance
A lesson in how to calculate the optimal angle and distance for a projectile using some calculus involving derivatives. [10:40]
Sophia Learning
Sophia: Average Rate of Change
Determine the average rate of change of a curved line. Assess learning with a quiz.
Khan Academy
Khan Academy: Optimization: Box Volume (Part 1)
If you are making a box out of a flat piece of cardboard, how do you maximize the volume of that box? Sal Khan demonstrates the solution in this video. [9:50]
Sophia Learning
Sophia: Extrema: Lesson 3
This lesson introduces minimum and maximum function values also called function extrema. It is 3 of 4 in the series titled "Extrema."
Sophia Learning
Sophia: Extrema: Lesson 1
This lesson introduces minimum and maximum function values also called function extrema. It is 1 of 4 in the series titled "Extrema."
Sophia Learning
Sophia: Using Higher Derivatives of Position: Lesson 2
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 2 of 7 in the series titled "Using Higher Derivatives of Position."
Sophia Learning
Sophia: Using Higher Derivatives of Position: Lesson 3
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 3 of 7 in the series titled "Using Higher Derivatives of Position."
Sophia Learning
Sophia: Using Higher Derivatives of Position: Lesson 4
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 4 of 7 in the series titled "Using Higher Derivatives of Position."
Sophia Learning
Sophia: Using Higher Derivatives of Position: Lesson 5
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 5 of 7 in the series titled "Using Higher Derivatives of Position."
Sophia Learning
Sophia: Using Higher Derivatives of Position: Lesson 7
This lesson applies higher derivatives to situations involving position, velocity and acceleration. It is 7 of 7 in the series titled "Using Higher Derivatives of Position."