AP Test Prep10:10
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Flipped Math

#### Calculus AB/BC - Derivatives of cos(x), sin(x), e^x, and ln(x)

For Students 10th - 12th
The shortcuts are not just for polynomial functions. Pupils learn the derivatives of the two basic trigonometric functions, cosine and sine. The video provides the derivatives for exponential and logarithmic functions. Learners work...
Lesson Plan
Curated OER

#### Exploring Derivatives Using Lists

For Teachers 9th - 12th Standards
Learners explore lists and determine the derivative for that list. They use regressions to discover equations.Â
Interactive
CK-12 Foundation

#### Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...
AP Test Prep13:54
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Flipped Math

#### Calculus AB/BC - Using the First Derivative Test to Determine Relative Local Extrema

For Students 10th - 12th
Critically apply intervals of increasing and decreasing. Pupils watch a video to see how finding a critical point and finding intervals of increasing and decreasing work together to identify local extrema. Scholars use the first...
AP Test Prep18:18
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Flipped Math

#### Calculus AB/BC - Defining the Derivative of a Function and Using Derivative Notation

For Students 10th - 12th
Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...
AP Test Prep9:15
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Flipped Math

#### Calculus AB/BC - Estimating Derivatives of a Function at a Point

For Students 10th - 12th
It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...
AP Test Prep15:40
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Flipped Math

#### Calculus AB/BC - Derivative Rules: Constant, Sum, Difference, and â€‹Constant Multiple

For Students 10th - 12th
Use derivatives to find equations of lines. Pupils learn more rules to use as shortcuts to find derivatives. Using the rules, they find the equations of the tangent line and the normal line at a given point. Scholars then apply the new...
AP Test Prep14:02
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Flipped Math

#### Calculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)

For Students 10th - 12th
Continue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...
Interactive
Shodor Education Foundation

#### Derivate

For Students 11th - Higher Ed
Derive tangent lines through derivatives. Scholars use an app to graph functions and investigate derivatives and tangent lines. The interactive automatically graphs a tangent line at a specified point and can also produce tables of values.
Lesson Plan
Curated OER

#### Worksheet 2: Graphs, Functions and Derivatives

For Teachers 12th - Higher Ed
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
Handout
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Chapman University

#### Derivative of sin x

For Teachers 10th - 12th Standards
Direct and to the point (the slope at a point that is) describes this one-page proof of the derivative of the sin(x).Â The definition of a derivative using a limit is the first step in this sequential, algebraic, explanation of how the...
Worksheet
Curated OER

#### Preparation of Crystalline Derivatives of Aldehydes and Ketones

For Students 9th - 12th
Chemistry explorers prepare a crystalline derivative and find its melting point. Once they discover the melting point, they are able to identify whether or not the substance is pure, and whether it is an aldehyde or ketone. This is an...
Lesson Plan
West Contra Costa Unified School District

#### Derivative Theorems

For Teachers 11th - Higher Ed
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
Handout
West Contra Costa Unified School District

#### Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as wellÂ as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
Interactive
CK-12 Foundation

#### Logarithmic Differentiation: Graphing the Derivative of a Logarithm

For Students 11th - Higher Ed
Log the values of the derivative of a logarithm. The interactive plots the derivative of the natural logarithm. Learners first determine the derivative of natural logarithm and the general logarithm. Using the formulas for the...
AP Test Prep7:43
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Flipped Math

#### Calculus AB/BC - Calculating Higher-Order Derivatives

For Students 10th - 12th
Derivatives are so fun that sometimes one wants to take the derivative multiple times. The sixth of seven installments in Unit 3 - Differentiation focuses on finding higher-order derivatives. After learning about the notation, scholars...
AP Test Prep11:42
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Flipped Math

#### Calculus AB/BC - Sketching Graphs of Functions and Their Derivatives

For Students 10th - 12th
Find deeper meaning in graphs. Pupils use the knowledge gained from the previous sections in the unit to sketch graphs of a function's derivative. Learners also see how to sketch a graph of a function given the graph of its derivatives....
AP Test Prep2:19
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Flipped Math

#### Calculus AB/BC - Selecting Procedures for Derivatives

For Students 10th - 12th
Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...
AP Test Prep12:50
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Flipped Math

#### Calculus AB/BC - Using the Second Derivative Test to Determine Extrema

For Students 10th - 12th
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
Lesson Plan
Curated OER

#### Worksheet 24 - Derivative

For Teachers Higher Ed
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
Lesson Plan
Curated OER

#### Worksheet 13 - Derivative

For Teachers Higher Ed
In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.
Lesson Plan
Curated OER

#### Worksheet 23 - Directional Derivative

For Teachers Higher Ed
In this function worksheet, students compute the directional derivative of a function and identify the xy-coordinates of the maximum and local minimum. This two page worksheet contains six multi-step problems.
Lesson Plan
Curated OER

#### Worksheet 7 - Derivative

For Teachers Higher Ed
In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.
Lesson Plan
Curated OER

#### Reactions of Benzene Derivatives

For Teachers 11th - Higher Ed
For this chemistry worksheet, students complete each of the problems by completing the circle for each reactant with the correct benzene derivative. There are three problems to solve and complete on the sheet.