Graphing Derivatives Teacher Resources

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AP Calculus AB Unit 5: Analytical Applications of Differentiation

For Students 11th - 12th
Fourteen lessons make up Unit 5 - Analytical Applications of Differentiation of the AP Calculus AB module. For each lesson, scholars watch a short video explaining a process and then complete provided practice problems to gain mastery....
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Worksheet 2: Graphs, Functions and Derivatives

For Teachers 12th - Higher Ed
In this math worksheet, young scholars answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
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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....
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Worksheet 3: Graphing Speed and Time

For Teachers 12th - Higher Ed
In this graphing speed and time worksheet, students answer 7 questions regarding graphing, speed, distance, derivatives, Newton's method and wheel radius.
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Graph Of The Derivative

For Teachers 11th - 12th
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
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Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
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Cubic Polynomial

For Students 11th - Higher Ed
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
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Calculus AB/BC Mid-Unit 5 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's time to put analytical applications to work. Learners use the eight questions of the mid-Unit 5 review to refresh their memories of the key points. Pupils apply what they have learned to use the Mean Value Theorem, find extrema...
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Worksheet 9 - Functions

For Teachers Higher Ed
In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
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Seeing is Believing: Derivatives

For Teachers 9th - Higher Ed Standards
Learn to solve functions by taking the derivatives. In this calculus lesson, learners compare the graph of a derivative to that of the original function.
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From F to F

For Students 11th - 12th
In this derivatives worksheet, learners solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
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Derivative Grapher

For Teachers 9th - 12th Standards
Learners graph the derivative of functions in this calculus lesson plan. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
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Graphs and Derivatives

For Students 9th - 12th
In this graphs and derivatives worksheet, high schoolers graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.
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Analyze This Function

For Students 11th - 12th
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
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Worksheet 22-Fall 1995

For Students 11th - Higher Ed
In this math learning exercise, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Calculus AB/BC - Using the Candidates Test to Determine Absolute (Global) Extrema

For Students 10th - 12th
Absolutely! Find the global maximum and minimums. Pupils watch a video showing how to find the absolute maximums and minimums of a function on an interval by testing critical points. The learners see how to determine whether a critical...
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The Derivative As a Function

For Students Higher Ed
In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...
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Challenge Discussion Sheet 4

For Students Higher Ed
in this derivative worksheet, students find the derivative for the function w'(t) and tell the meaning of this. They create a sign chart for the derivative of two functions. Students create the graph of the derivative of a function as...
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Senior Analysis: Derivatives by Definition

For Students 11th - Higher Ed
In this derivative instructional activity, students find the derivative of given functions. They identify the equation of a line tangent to a specified function. This three-page instructional activity contains 22 multi-step problems.
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Derivative Graphs

For Teachers 10th - 12th
For this derivative graphs worksheet, students graph functions and identify all relative extrema. This two-page worksheet contains seven multi-step problems.
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Calculus Review Worksheet

For Students 11th - Higher Ed
In this review learning exercise, students evaluate given limits. They evaluate graphs. This four-page learning exercise contains 27 multi-step problems. Answers are provided on pages three and four.
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Curve Sketching

For Students 11th - 12th
In this calculus worksheet, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
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Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
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What Does the Graph of the Cosine Function Look Like?

For Teachers 10th - 12th
Using the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the cosine graph by translating the x-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...

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Graphing Derivatives