Curated OER
Definition of the Derivative
Students find the derivatives of functions. In this finding the derivatives of functions instructional activity, students use the definition of derivative to take the derivative of a function. Students discuss scenarios in which the...
Curated OER
The Derivative
In this derivative learning exercise, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page learning exercise contains definitions, examples and...
Curated OER
Limits
In this limit worksheet, students evaluate functions and determine the limits of the function. This one-page worksheet contains 10 problems.
Curated OER
Functions
For this functions worksheet, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write...
Curated OER
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.
Curated OER
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.
Rice University
Calculus Volume 1
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
CK-12 Foundation
Average and Instantaneous Rates of Change
How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...
Curated OER
Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation activity, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a function....
Curated OER
The Limit Definition of a Definite Integral
For this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
Curated OER
Complex Analysis: The Complex Derivative
In this complex derivative worksheet, students determine the circle of a radius under the mapping principle. They identify analytic functions, and explore the relationship between real and imaginary parts of complex functions. This...
Curated OER
The Limiting Behavior of Selected Functions
In this limiting behavior of equations worksheet, learners use the Klien and Nishima formula to find the limit for large X which is the ratio of energy carried by a photon compared to the rest mass energy of an electron.
Curated OER
Soduko Puzzle
For this calculus worksheet, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
Curated OER
Math 155 - Fall 2002 Worksheet 3: Continuity
For this continuity worksheet, students solve 5 short answer problems about continuity. Students determine where functions are continuous and find the limits of functions at points of discontinuity.
Curated OER
AP Calculus Practice Exam BC Version: Part B
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
Curated OER
Calculus Games
In this calculus worksheet, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
Curated OER
Return Intervals & Reasoning from Tabular Data
Students calculate derivatives from a set of data. For this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
Curated OER
Math 150 Limit computations
In this college level calculus worksheet, students evaluate the given limits and find the indicated derivatives. The two page worksheet contains ten problems. Answers are not included.
Curated OER
Challenge Discussion Sheet 10: Limits
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
College Board
Beginning the Year with Local Linearity
Local linearity isn't the first thing that comes to mind to start off an AP® Calculus course. A scholarly article discusses one possible beginning to the AP® Calculus course: investigating and introducing derivatives through activities...
Curated OER
Limits and Infinity
For this calculus lesson, learners graph functions, identify limits and use the derivative to solve equations with limits. There are 5 questions about limits as x approaches infinity.
Curated OER
Definition Of The Derivative
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...