Differentiation Teacher Resources
Find Differentiation educational ideas and activities
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In this calculus worksheet, students find the derivative of a function. They use the product rule to to differentiate each problem. There are 21 problems with an answer key.
Differentiation Using the Quotient Rule
In this calculus worksheet, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
Multivariable Calculus: Implicit Differentiation
In this implicit differentiation activity, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page activity contains definitions, examples, and explanations. It contains approximately eight multi-step problems.
A.P. Calculus Practice Exam AB Version- Section I- Part B
In this A. P. Calculus AB learning exercise, students solve seventeen multiple-choice problems with a graphing calculator. This learning exercise is designed as a practice test for the A.P. Exam and should be timed.
AP Calculus Practice Exam
In this Calculus activity, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. The four page document contains seventeen multiple choice questions. Answers are not included.
AP Calculus Practice Exam
For this Calculus worksheet, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. The one page worksheet contains seventeen multiple choice questions. Answers are not provided.
Differentiation of Trigonometry Functions
In this trigonometry worksheet, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
Inverse Trig Functions: Chain Rule
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
Basic Calculus II: Techniques of Integration
In this differentiation worksheet, students select from a list of differentiation rules which one they have to use to find the derivative of the given equation. They evaluate one integral exactly.
Calculus for electric circuits
In this circuits activity students complete a series of questions on equations, robotics and integration. There is an answer sheet.
In this calculus worksheet, 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 differentiate both sides with respect to x,using the chain rule on the left side and the product rule on the right. In addition, they multiply both sides by y and substitute.
Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and graphical representation of vectors. Students use polar functions of investigate the area bounded by a curve. Students investigate a 3D graphing application.
What is the Number "e"?
Students explore natural logarithms. In this calculus lesson, students investigate exponential growth and integral calculus which leads to the natural logarithm function. Students solve problems involving exponential growth.
In this capacitance worksheet, students solve 19 problems about capacitance, voltage, electric charge and Ohm's Law. They use calculus to solve some of the problems and they are given equations used to solve different capacitance problems.
Lesson 22- Related Rates
Directions are written to solve a related rate problem step by step. There are five example problems to practice solving for related rates. Use of the Chain Rule and/or implicit differentiation is one of the key steps to solving these word problems.
Maximum/ Minimum Problems
In this optimization worksheet, students solve 20 short answer word problems. Students read, sketch, define variables, write equations, differentiate their equations, and find the maximum or minimum of each word problem.
AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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 complicated problems.
Differentiation of Functions
In this differentiation worksheet, students use differentiation rules to solve given functions. This four-page worksheet contains 8 problems.
Calculus: Derivatives 3
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and "Calculus Derivatives 2.5 (HD).Ó Note: Additional practice using the power rule for differentiating polynomials (including some with negative exponents) is available to the listener.