Instructional Video14:22
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Krista King Math

Differentiability and Horizontal and Vertical Tangent Lines

11th - Higher Ed
Use slope to find the location of horizontal and vertical tangent lines. Using the derivative of a radical function, the presenter finds the points where the derivative is zero or undefined on a given interval. The 26th in a series of 31...
Instructional Video15:19
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Krista King Math

Value that Makes Two Tangent Lines Parallel

11th - Higher Ed
Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a...
Instructional Video9:51
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Krista King Math

Product Rule for Derivatives

11th - Higher Ed
Find the derivative of a complex function involving two factors. The video presents a function involving the product of two complex binomials. Using the product rule, the presenter highlights the two factors and their representations...
Instructional Video6:08
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Krista King Math

Sales Decline Calculus Problems

11th - Higher Ed Standards
Decaying car sales ... when should the advertising resume? The last video in a series of 31 works a problem involving exponential decay. The problem presents the scenario of declining car sales in which the rate is not given directly to...
Instructional Video2:51
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Krista King Math

Continuous Compounding Interest

11th - Higher Ed Standards
My great-great-great-grandfather would owe how much? The resource provides a scenario of finding the amount due on a library fine compounded continuously one hundred years later. The presenter substitutes values into the exponential...
Instructional Video8:06
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Krista King Math

Finding Half Life

11th - Higher Ed
When will half of the substance be gone? Using the exponential decay formula, the video finds the half-life of radium-226. The 29th installment in a 31-part series goes on to discuss that the calculations are the same independent of the...
Instructional Video8:00
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Krista King Math

Equation of the Tangent Line

11th - Higher Ed
Given a function and a point on the function, the video shows how to determine the equation of the tangent line at that point. Using the function equation, the presenter determines the y-coordinate for the point. The 24th video in a...
Instructional Video6:54
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Krista King Math

How to Use Logarithmic Differentiation to Find the Derivative

11th - Higher Ed
Use the natural logarithm to simplify differentiation. The 22nd resource in a series of 31 provides an example of a problem that would be best differentiated by using logarithms. The presenter takes the natural logarithm of both sides....
Instructional Video5:55
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Krista King Math

Derivatives of Logarithms

11th - Higher Ed
It is only natural to take the derivative of a logarithmic function with a complex argument. The 21st installment in a series of 31 provides an example of taking the derivative of a natural logarithmic function. First simplifying the...
Instructional Video6:48
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Krista King Math

Finding the Derivative of a Function with e^x

11th - Higher Ed
Go beyond the basics with exponential functions. Using a function that contains an exponential function, the video shows the steps involved in finding its derivative. The 20th installment in a series of 31 uses an example with the...
Instructional Video3:11
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Krista King Math

Derivatives of inverse hyperbolic functions

11th - Higher Ed
Apply knowledge of derivatives and inverse hyperbolic functions. Using the formula for the derivative of an inverse hyperbolic function, the resource finds the derivative of a more complex function. The complex function is comprised of a...
Instructional Video4:24
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Krista King Math

Derivatives of Inverse Trig Functions - Arccot

11th - Higher Ed
Get two functions for the cost of one. The short video is the 16th in a series of 31 video on calculus topics. The presenter works through finding the derivative of a function involving two arccot functions. One of the functions requires...
Instructional Video5:06
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Krista King Math

Derivatives of Inverse Trig Functions - Arcsin

11th - Higher Ed
Put another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...
Instructional Video19:08
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Krista King Math

Derivatives of Trig Functions

11th - Higher Ed
What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...
Instructional Video5:39
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Krista King Math

Chain Rule for Derivatives, with Trig Functions

11th - Higher Ed
Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...
Instructional Video9:11
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Krista King Math

Chain Rule for Derivatives, with Product Rule

11th - Higher Ed
Unchain the product rule. The 10th video in a series of 31 provides an example of the chain rule in conjunction with the product rule. Using a binomial and a trinomial raised to powers as factors, the presenter works through the process...
Instructional Video6:27
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Krista King Math

Chain Rule Combined with Power Rule

11th - Higher Ed
How does the chain rule work with the power rule? Using a radical function, the video shows how the chain rule works along with the power rule. The resource continues to simplify the derivative and places it in a familiar form. The...
Instructional Video8:49
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Krista King Math

Reciprocal Rule

11th - Higher Ed
Alter the reciprocal rule to work with more functions. The eighth segment in a series of 31 introduces the reciprocal rule for finding a derivative. Using the quotient rule, the video derives the reciprocal rule and creates a rule that...
Instructional Video7:23
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Krista King Math

Product Rule - 3+ functions

11th - Higher Ed
Will the product rule work for more than two functions? The sixth video in a series of 31 provides a function that is the product of three other functions. Making connections to the product rule with two functions, the presenter shows...
Instructional Video12:15
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Krista King Math

Definition of the Derivative to Find the Derivative

11th - Higher Ed
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...
Instructional Video4:08
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Krista King Math

How to Calculate the Difference Quotient

11th - Higher Ed
The difference quotient looks worse than it is. Determining the difference quotient is the first step in finding the derivative using the definition. The second segment in a series of 31 works through an example of simplifying the...
Instructional Video5:53
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Krista King Math

Average Rate of Change of a Function

11th - Higher Ed Standards
Just how fast is the function changing? The presenter provides a general explanation of the average rate of change in the 28th presentation in a series of 31 calculus videos. The video moves on to find the average rate of change for a...
Instructional Video6:15
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Krista King Math

Derivative of x^x

11th - Higher Ed
Use this trick to find the derivative of x raised to the x power. The video shows how to find a complicated derivative by rewriting the function using properties of logarithms. After rewriting the function, the derivative is simply...
Instructional Video10:24
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Krista King Math

Implicit Differentiation Completely Explained!

11th - Higher Ed
Explicitly explain how to use implicit differentiation. Using a trigonometric function defined using y and x, the resource works through an example of implicit differentiation to explain the process. The 19th video in a 31-part series...