Curated OER
Worksheet 14: Properties of Logs
In this math worksheet, students are given 7 problems in which they review properties of logs and solve, differentiate formulae, find derivatives and solve story problems involving the rate of spread of a disease and Newton's Law of...
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Worksheet 8: Functions and Falling Bodies
In this math worksheet, learners answer 6 questions having to do with continuous and differentiable functions, falling bodies, and derivatives.
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Worksheet 7: Slope and Tangents
Providing both review and practice problems, this worksheet prompts students to answer five questions having to do with slope, tangents lines, graphing, the Squeeze Theorem, differentiable functions and derivatives. This activity could...
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Worksheet 2: Graphs, Functions and Derivatives
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
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Calculus Worksheet
In this calculus activity, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
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Differentiation Quiz Form B
In this differentiation worksheet, students differentiate 10 functions in short answer format. Students differentiate trig, logarithmic, cubic, exponential, rational, and higher order functions.
Curated OER
Differentiation Quiz
For this differentiation quiz worksheet, learners solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
College Board
Frozen in Time
Take a closer look at increasing and decreasing behavior by zooming in on graphs. An AP® Calculus reference document examines how increasing/decreasing behavior should be considered in terms of intervals rather than points. The resource...
College Board
Differentiability of Piecewise Defined Functions
Differentiable or not, that is the question. An informational website gives two theorems on the differentiability of piecewise functions at their endpoints. It goes on to apply the theorems to present two solution methods to a past AP®...
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Worksheet 13 - Implicit Differentiation
In this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
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Worksheet 12 - Differentiable Functions
In this differentiable function worksheet, students identify differentiable functions and calculate the derivative of a function. This two-page worksheet contains eight multi-step problems.
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Worksheet 9 - Functions
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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Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
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Worksheet 28 - Functions
For this function worksheet, students identify functions which are their own derivative. They determine the vertical and horizontal asymptotes of functions. This one-page worksheet contains seven multi-step problems.
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Worksheet 17-Fall 1995
In this math worksheet, students find y' both implicitly and explicitly for given relations. They find y' using implicit differentiation for a given relation. Students prove the Pythagorean Theorem
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Worksheet 7 - Derivative
In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.
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Worksheet 24 - Derivative
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.
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Worksheet 22 - Functions
In this function worksheet, students use functions to identify an electron traveling along a path. They examine the velocity vector and compute the directional derivative. This two-page worksheet contains six multi-step problems.
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Worksheet 23 - Directional Derivative
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.
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Worksheet 20 - Derivatives
In this derivative worksheet, students solve functions, sketch the direction of the rate of change, and describe functions using polar coordinates. This two-page worksheet contains seven multi-step problems.
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Worksheet 25 - Chain Rule
In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...
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Worksheet 3 - Functions
In this function worksheet, students solve functions with a continuous derivative. This one-page worksheet contains six multi-step problems.
Curated OER
Worksheet 13 - Derivative
In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.