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Professor Dave Explains
Understanding Limits and L'Hospital's Rule
An introduction to L'Hospital's rule.
Professor Dave Explains
Integration Using The Substitution Rule
An introduction to the substitution rule for integration.
Professor Dave Explains
Partial Derivatives and the Gradient of a Function
An introduction to partial derivatives and defining the concept of gradient.
Flipping Physics
Power using Derivative and Unit Vectors - Example
Professor Dave Explains
The Fundamental Theorem of Calculus: Redefining Integration
Defining the fundamental theorem of calculus.
Math Fortress
Differential Equations: Systems of Differential Equations
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video covers the basics of systems of ordinary differential equations. This video also goes over two examples illustrating how to...
Professor Dave Explains
What is a Derivative? Deriving the Power Rule
What is it to take the derivative of a function? Let's derive and define the power rule, so that we can take the derivative of simple polynomials.
Professor Dave Explains
Higher Derivatives and Their Applications
What are second derivatives and third derivatives? Let's learn about higher derivatives and their applications.
Flipping Physics
AP Physics C: Momentum, Impulse, Collisions and Center of Mass Review (Mechanics)
Calculus based review of conservation of momentum, the momentum version of Newton’s second law, the Impulse-Momentum Theorem, impulse approximation, impact force, elastic, inelastic and perfectly inelastic collisions, position, velocity...
Curated OER
Maxima Minima Slope Intuition
Before solving any problems, Sal gives an overview of what happens to the slope, first derivative, and second derivative at local maxima and minima to give the viewer a more intuitive feel for these types of problems.
Curated OER
Optimization Example 4
Sal does another optimization example, this time, minimizing the total cost of an open rectangular box. In this problem, the volume can be defined in terms of a single variable and given a cost model, he builds a cost equation. He finds...
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]