Curated OER
Discussion Sheet 5: Differentiate Functions
In this differentiate function worksheet, students differentiate functions, determine intervals, and derive the equation of a line tangent to a graph of a function. This two-page worksheet contains eleven problems.
Curated OER
Introduction to Differentiation
In this introduction to differentiation worksheet, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students sketch the...
Curated OER
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.
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
Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
Curated OER
Representation of Quadratic Functions
Students use a table, graph or equation to represent a quadratic function. In this algebra instructional activity, students model and graph with quadratic function. They become comfortable representing quadratics using different methods.
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Curated OER
Lab 5: Inverse Functions and Calculus
Learners identify graphical relationships between a function and its inverse using a graphing calculator. They begin by declaring the function f(x) with formula definition sin(x), then plot this function. To finishing the lab, they check...
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
Worksheet 10: Differentiation
In this differentiation worksheet, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page worksheet contains...
EngageNY
The Graph of the Natural Logarithm Function
If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...
Curated OER
Functions and Differentiation
In this calculus worksheet, students identify functions based on different Theorems as it relates to calculus and the Fundamental Theorem. There are 13 questions dealing with differentiation and trigonometric graphs.
Curated OER
Differentiation of Functions
In this differentiation of functions worksheet, students find the first derivative of given functions. Functions contain exponents and square roots. This three page worksheet contains nine multi-step problems.
Flipped Math
Calculus AB/BC - Differentiating Inverse Trigonometric Functions
Differentiating inverse trigonometric functions is quite different from applying the skill inverse functions. Scholars learn how to differentiate inverse trigonometric functions in the fourth of seven video installments in Unit 3 -...
Flipped Math
Calculus AB/BC Unit 3 Review: Differentiation
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Flipped Math
Calculus AB/BC - Differentiating Inverse Functions
Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...
Serendip
Structure and Function of Cells, Organs and Organ Systems
Cells of different organs have unique cell functions. Learn how cell functions vary depending on their roles in the body using an inquiry-based activity. Scholars analyze the cell structure to make comparisons to its functions, allowing...
Virginia Department of Education
Structure and Function of Cell Membranes
Lead your high school class on an exploration inside the cell. Individuals investigate the relationships between cells structure and function given their relative locations on the cell membrane. They explore the concept of homeostasis...
CK-12 Foundation
Derivatives of Trigonometric Functions: Derivative of sin(x)
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...
Flipped Math
Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Curated OER
Calculus 3.6 - The Chain Rule
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule. He shows step by step ways to solve these...
Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear, exponential...