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491 resources with the concept derivatives

19 Items in Collection
Lesson Planet

High School Math Handouts

For Teachers 8th - 12th Standards
A collection of different resources can augment any math curriculum. Sheets can be printed, posted on the wall, or emailed to students for use in the classroom.
1 In 1 Collection
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Derivative and Integral Rules

For Teachers 10th - Higher Ed
Your calculus learners will enjoy this handy reference sheet containing the most used derivative and integral formulas.
9:37
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Maxima Minima Slope Intuition

For Students 11th - Higher Ed
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.
9:48
Lesson Planet

Optimization Example 4

For Students 11th - Higher Ed
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...
9:44
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Graphing with Calculus

For Students 11th - Higher Ed
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...
17:29
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Optimization with Calculus 3

For Students 11th - Higher Ed
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...
7:03
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Proof: d/dx(x^n)

For Students 11th - Higher Ed
Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.
5:07
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Proof: d/dx(sqrt(x))

For Students 11th - Higher Ed
Using the definition of a limit, Sal proves the derivative of �x or x1/2 is equal to _ x-1/2.
9:52
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Proof: d/dx(ln x)=1/x

For Students 11th - Higher Ed
Using the definition of a limit, various properties of logarithms, and a definition of e, Sal shows the proof of derivative of ln x = 1/x. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a clearer explanation of this...
4:40
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Proof: d/dx(e^x) = e6x

For Students 11th - Higher Ed
Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows a proof that derivative of ex = ex. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a clearer explanation of this proof.
7:50
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L'Hopital's Rule Example 3

For Students 11th - Higher Ed
In this video, Sal starts with an example where the limit is not indeterminate but rather undefined and therefore cannot be solved using L'Hoptial's rule. He shows how you can rewrite the problem algebraically so that the rule can be...
5:16
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L'Hopital's Rule Example 2

For Students 11th - Higher Ed
Sal shows two different ways of finding the limit of a rational expression where the limit of the polynomial is of an indeterminate form involving infinity. First, he shows how to solve this using L�Hopital�s Rule and then by using the...
7:43
Lesson Planet

L'Hopital's Rule Example 1

For Students 11th - Higher Ed
After applying L'Hopital's Rule once and showing that the limit is still indeterminate, Sal applies the rule a second and third time before arriving at a limit that exists. He then shows that given that the final limit exists, so do the...
8:52
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Introduction to L'Hopital's Rule

For Students 11th - Higher Ed
After defining L'Hopital's rule, Sal shows an example of using the rule to solve for the limit as x approaches 0 of (sin x) / x. He also describes what it means for a fraction to have indeterminate form.
9:50
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Calculus: Derivatives 3

For Students 11th - Higher Ed
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...
9:30
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Calculus: Derivatives 2

For Students 11th - Higher Ed
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 secant line at a specific point, and again defining the limit as x approaches zero to get the slope...
11:05
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Calculus: Derivatives 2.5 (new HD version)

For Students 11th - Higher Ed
By defining the formal definition of a derivative, f�(x), Sal is able to 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.
8:28
Lesson Planet

Calculus: Derivatives 2 (new HD version)

For Students 11th - Higher Ed
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 secant line at a specific point. He continues with defining the limit as x approaches zero to get the...
9:26
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Calculus: Derivatives 1

For Students 11th - Higher Ed
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...
15:43
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Calculus: Derivatives 1 (new HD version)

For Students 11th - Higher Ed
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...
9:02
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Calculus: Derivative of x^(x^x)

For Students 11th - Higher Ed
Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .
9:02
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Calculus: Derivative of x^(x^x)

For Students 11th - Higher Ed
Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .
3:56
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Extreme Derivative Word Problem (advanced)

For Students 11th - Higher Ed
Sal shows the complex solution to a challenging derivative problem about �normalines�. This is probably beyond the scope of most first year calculus students but might be an interesting problem to show how complex these problems can...
3:56
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Proofs of Derivatives of Ln(x) and e6x

For Students 11th - Higher Ed
In this video, Sal takes on the challenge of proving both the derivative of ln x = 1/x and of ex = ex, showing that no circular logic is used in the proof.  It contains a clearer version of both proofs shown in the videos titled, _Proof...