Professor Dave Explains
Understanding Differentiation Part 1: The Slope of a Tangent Line
Conceptualizing differentiation using the slope of a tangent line.
Brian McLogan
Learn to find the average acceraltion of a particle not given in a table
👉 Learn how to solve particle motion problems. Particle motion problems are usually modeled using functions. Now, when the function modeling the position of the particle is given with respect to the time, we find the speed function of...
Brian McLogan
Understand local linearity and formal definitions of the derivative
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
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
The Mean Value Theorem For Integrals: Average Value of a Function
Defining the mean value theorem for integrals.
Krista King Math
Derivatives
Instantly find the rate of change at a point. The video presents an example illustrating how to find the rate of change at a point on a function. Using graphs, the presenter illustrates the method of approximating the slope of the...
Flipped Math
Calculus AB/BC - Average and Instantaneous Rate of Change
Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...
Krista King Math
Definition of the Derivative to Find the Derivative
Serve up the definition of the derivative two ways. Video three in a series of 31 begins with making the distinction between the difference quotient and the definition of the derivative. The presentation shows two ways the definition is...
Brightstorm
Computing Difference Quotients - Concept
Taking precalculus will make finding tangents secant nature! Many people are confused by using difference quotients with limits in a derivative, and these videos help break it into smaller pieces. Leaving out the derivative and the...
Brightstorm
Average Velocity
You've launched a pumpkin into the air. How can you calculate its average velocity? Viewers learn how to calculate the average velocity of an object from tables and graphs, including a careful derivation of units, in the first...
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 (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]
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: Introduction to Derivatives: Calculating Slope of Tangent Line
In this video students find the slope (or derivative) of a curve at a particular point.