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Drawing Slope Fields
Work through an example on slope fields. In a video geared for AP Calculus, viewers watch as an instructor uses a slope field generator to produce a slope field and draws particular solutions for a given differential equation.
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The Mean Value Theorem
AP Calculus students examine the procedure for determining if the Mean Value Theorem applies to a given function. with a video that discusses the requirements needed. The instructor approaches the problem from both a graphical and...
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Local Maximum and Minimum
AP Calculus classes follow along as a video tutorial explains the process of determining the location of local maximum and minimum. The instructor first finds the derivative using the Quotient Rule. After finding the critical values, he...
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Newton's Method and Inflection Point
The inflection point, the point where the second derivative is zero, is the focus of a video that works through a problem where it is not obvious to see the roots of a function. The solution to the problem requires using Newton's method...
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Volumes: Solids That are Not Solid of Revolution
Viewers learn how to calculate the volume when the cross section is not a circle by using the same principle as if it was a circle. The video goes through an example of finding the volume of a figure where the cross sections are squares...
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Possible and Relative Error
Here's a video that demonstrate the meaning of possible and relative error using differentials. As the instructor works through the problem, he gives formulas for determining the different types of errors. He shows two approaches to the...
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Related Rates
A video tutorial examines the application of related rates to determine the rate of change of an angle at a line of sight. The instructor shows the process of solving the problem using a known rate to find the desired rate and analyzes...
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Desmos Tutorial
Demonstrate the functionality of the Desmos software for your pupils. with a video that discusses different aspects of the software from graphing piecewise function to finding roots and changing axis. The overview is sufficient to start...
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Limit of a Function
Explore the meaning of the limit of a function as it approaches a given value with a video that explains limits in reference to a derivative. The narrator then shows how to evaluate the limit of a function at a given integer value.
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The Product, Power, and Quotient Rules
Teach the rules of finding derivatives using the video lesson. The instructor explains in detail the Product, Power, and Quotient Rules. He describes each rule and then illustrates several examples.
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Slopes of Curves Examples
Provide a homework resource to your classes as they work to complete challenging problem-solving questions. The video tutorial works through several homework questions addressing the slopes of curves. It shows each problem in its...
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Calculating Limits as x Goes to Infinity
Build on your class' understanding of limits by exploring limits as x approaches infinity. The instructor explains how to find the limit by considering specific values. He then makes a connection to the graphical representation.
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Chain Rule
Class members learn how to evaluate derivatives of functions using the Chain Rule through a video that shows the steps of finding a derivative with the Chain Rule. The two examples include both a trigonometric and polynomial function.
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Implicit Differentiation
Model for class members how to find both a first and second derivative of a trigonometric function with a video tutorial that works through a problem that uses the Quotient Rule to evaluate the derivative. The instructor shows the steps...
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Optimization: Maximum Area
Viewers discover how to apply derivatives to determine dimensions that maximize area with a video that presents a problem that asks for the maximum area of a rectangle inscribed in a circle with radius (r). The instructor demonstrates...
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Derivatives Example: f(x)=√x
Introduce your classes to the derivative formula using a video lesson. The instructor works through an example using the parent square root function. He then shows how to write the equation of the tangent line at a given x value.
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Slopes and Curves
Investigate the rate of change of graphs at a defined point with a video that explains the concept of a tangent line and how to find the slope of this line at a given point on a curve. The narrator also makes the connection to the...
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Continuity
Uncover the connection between continuity and roots between a given interval with a video that explains how to approach a problem that asks if roots exist between a given interval. The instructor shows how to test the interval...
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Differentiation of Polynomials and Exponenital Functions
Extend pupil understanding of derivatives and tangent lines. The problem presented asks individuals to find the points on a graph that have a tangent line parallel to a given line. The instructor shows how to use the concept of a...
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Derivatives of the Trigonometric Functions
Explore the derivatives of trigonometric functions through a video tutorial. The instructor shows how to evaluate a limit as x approaches infinity of a sine function. The final answer results in a limit of one.
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Absolute Maximum and Minimum Values of a Function
Viewers explore the meaning of absolute maximum and minimum values for a trigonometric function within a given interval with a video that shows how to determine the critical values within the interval.The instructor then explains how to...
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Finding Limit Using L'Hospital's Rule
Apply L'Hospital's Rule to finding limits analytically. The video instructor demonstrates how to determine the limit of two different examples. Each uses the L'Hospital's Rule, but through a different application.