Curated OER
Graphing with Calculus
In a problem where you are not given the original function, but rather only three known points on the graph and a few additional pieces of information about when the first and second derivatives are positive or negative, Sal shows how...
Curated OER
Optimization with Calculus 3
Using what one learned about finding the minimum and maximum of functions, the optimization problem to find two numbers whose product is -16 and whose sum of squares is a minimum is solved. Sal starts by writing the equations and...
Khan Academy
Power Rule Introduction (Old) Taking derivatives, Differential Calculus
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and...
Khan Academy
Calculus: Derivatives 2
Sal continues where he left off with the last video, "Derivatives 1, Ó by looking at the equation y = x^2 and examining the slope of the second line at a specific point, and again defining the limit as x approaches zero to get the slope...
Khan Academy
The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus
By defining the formal definition of a derivative, f(x), Sal can find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.
Khan Academy
Calculus: Derivatives 2 (New HD Version)
Sal continues where he left off with the last video, "Derivatives 1, Ó by looking at the equation y = x2 and examining the slope of the second line at a specific point. He continues defining the limit as x approaches zero to get the...
Khan Academy
Calculus: Derivatives 1
Sal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...
Khan Academy
Calculus: Derivatives 1 (New HD Version)
Sal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...
Khan Academy
Calculus: Derivative of x^(x^x)
Sal starts by showing how to find dy/dx of y = x2 and then moves on to show the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x.
Khan Academy
Product Rule, Taking Derivatives, Differential Calculus
Sal defines the product rule and then shows two examples of its use. He then shows an example of finding the derivative using the chain and product rules together.
Khan Academy
Khan Academy: Differential Calculus: Equation of a Tangent Line
Video lesson on finding the equation of the tangent line of an exponential function at a certain value. Equation is checked by graphing. [8:07]
Khan Academy
Khan Academy: Calculus: Derivatives (Part 9)
Video lesson demonstrating how to find the derivative of functions using the product rule and the chain rule. [9:56]
Khan Academy
Khan Academy: Calculus: Even More Chain Rule
Video lesson demonstrating the derivative of composite functions using the formal definition of the chain rule. Includes a link to additional practice at the top of the video. [9:50]
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 #6B
This video [5:15] shows how to write the derivative of a piecewise function as another piecewise function. Uses the derivative to find the value of x that gives a certain derivative value.
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]