College Board
2002 AP® Calculus AB Free-Response Questions
Peek behind the curtain. Using a helpful resource, teachers and pupils see the way concepts appear on the AP® Calculus exam. Scholars use the questions to prepare for their own exams, gaining quality practice before test day. Questions...
CK-12 Foundation
Chain Rule
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
West Contra Costa Unified School District
Derivative Theorems
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...
Curated OER
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...
Curated OER
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
Curated OER
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...
Curated OER
Integration by Substitution
Looking for help in introducing integration by substitution to your calculus students? Here is a activity that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
Curated OER
Matter and Motion 3
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
Curated OER
Sudoku Puzzle with Derivatives
In this Sudoku puzzle worksheet, students use basic derivative formulas, the chain rule and implicit differentiation to solve given problems. This six-page worksheet contains 26 problems. Answers are provided on the last page.
Curated OER
Practice Test: Derivatives
In this derivatives worksheet, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page worksheet contains 6 multi-step problems.
Curated OER
Derivatives of Inverse Functions
In this derivatives worksheet, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This worksheet includes five short...
Curated OER
The Chain Rule
In this calculus worksheet, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
Curated OER
Inverse Trig Functions: Chain Rule
In this trigonometric functions learning exercise, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
Curated OER
The Little Prince and his Pendulum
In this function worksheet, students read a fairy tale about a prince on a tiny planet. They explore the length of a pendulum and gravitational acceleration. Students use the multi-variable change rule to compute the rate of change. ...
Curated OER
Implicit Differentiation
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
Curated OER
The Chain Rule and Applications
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
Curated OER
Trigonometric Examples of Integration by Substitution
In this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
Curated OER
Implicit Differentiation
In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
Curated OER
Composition of Functions and the Chain Rule
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
Curated OER
Implicit Differentiation
For this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
Curated OER
Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule
In this related rates problem activity, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page activity contains eleven...
Curated OER
More Integral Exchange: Integration By Parts
In this integration worksheet, students explore methods of integration and explore integration by substitution. This two-page worksheet contains examples, explanations, and six multi-step problems.
Curated OER
Parametric Equations
Students investigate the concept of parametric equations and practice taking the derivatives and then the Quotient Rule is proven. They prove the Quotient Rule while using the Chain Rule with the examples given in the lesson plan for...
Curated OER
The Chain Rule
Students determine the derivative of a function. In this determining the derivative of a function lesson, students use the chain rule to find the derivative of the function. Students use the chain rule to take the derivative of each...