Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #4A
This video [4:48] shows how to determine the integral of an unusual function using geometry to find the area under the curve. Also shows how to find the derivative of a function which contains an integral by using the Fundamental Theorem...
Khan Academy
Khan Academy: Calculus: Calculus: Derivatives 2
Video lesson finding the slope of a tangent line of a general quadratic function at a point by finding the limit of the slope of the secant line. Continues on to find the derivative of the function for any point. Includes link to...
Khan Academy
Khan Academy: Calculus: Calculus: Derivatives 2.5 (New Hd Version)
Video lesson finding the slope of a tangent line of a general quadratic function for any point and then using the function to find the slope at specific points. [11:05]
Khan Academy
Khan Academy: Calculus: Calculus: Graphing Using Derivatives
Video lesson using the first and second derivatives to find critical and inflection points and to graph a polynomial function. [20:31]
Khan Academy
Khan Academy: Calculus: Derivative Intuition Module
Video lesson exploring how to use a module for finding the derivative of a function. Module can be accessed by clicking on the "Practice this concept" link at the top of the video. [3:58]
Khan Academy
Khan Academy: Calculus: Calculus: Derivatives 1
Video introducing a derivative as the slope of a tangent line by reviewing the concept of the slope of a line and using that to find the slope of a secant line. Includes link to additional practice problems. [9:25]
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...
Khan Academy
Khan Academy: Calculus: Calculus: Graphing With Derivatives Example
Video lesson using the first and second derivatives to find critical and inflection points and to graph a natural logarithm function. [25:08]
Khan Academy
Khan Academy: Calculus: Calculus: Derivatives 1 (New Hd Version)
Video introducing a derivative as the slope of a tangent line by reviewing the concept of the slope of a line. Includes link to additional practice problems. [15:43]
Khan Academy
Khan Academy: Calculus: Calculus: Derivatives 2 (New Hd Version)
Video lesson finding the slope of a tangent line of a function at a point by finding the limit of the slope of the secant line. Includes link to additional practice problems. [8:28]
Sophia Learning
Sophia: Exponential Derivatives: Lesson 6
This lesson states the rule for finding the derivative of an exponential function. It is 6 of 6 in the series titled "Exponential Derivatives."
Sophia Learning
Sophia: Double Integration by Parts: Lesson 4
Integrating by using the method of integration by parts two or more times is demonstrated here. This lesson is 4 of 4 in the series titled "Double Integration by Parts."
Khan Academy
Khan Academy: Calculus: Chain Rule Examples
Video describing how to find the derivative of functions using the chain rule. Includes link to additional practice problems. [9:24]
Khan Academy
Khan Academy: Calculus: The Chain Rule
Video lesson that reviews how to find the derivative of polynomial functions and then informally introduces the chain rule by looking at a few examples. Includes link to additional practice at the top of the video. [9:12]
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #5 B
Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate
Khan Academy
Khan Academy: Surface Integrals: 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.
Khan Academy
Khan Academy: Power Rule: Proof: D/dx(x^n)
Video lesson proving the power rule for finding a derivative using the limit defintion of a derivative and the binomial theorem.
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: Chain Rule: Extreme Derivative Word Problem (Advanced)
A difficult but interesting derivative word problem
Khan Academy
Khan Academy: Power Rule: Power Rule
A video demonstrating the derivative of a function using the power rule.
Khan Academy
Khan Academy: Power Rule: Is the Power Rule Reasonable
This video shows when to use the power rule when finding the derivative of a function.
Khan Academy
Khan Academy: Optimization With Calculus: Optimizing Box Volume Analytically
In this video you can see how to maximize the volume of a box analytically.
Khan Academy
Khan Academy: Intuition for Second Fundamental Theorem of Calculus
A video showing a way to evaluate a definite integral.
Khan Academy
Khan Academy: Optimization With Calculus: Optimizing Profit at a Shoe Factory
This video shows how can you optimize your profit.