Differentiation Teacher Resources
Find Differentiation educational ideas and activities
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Young scholars read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in the real world.
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.
For this calculus worksheet, learners use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
In this implicit differentiation instructional activity, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page instructional activity contains definitions, examples, and explanations. It contains approximately eight multi-step problems.
In this A. P. Calculus AB worksheet, students solve seventeen multiple-choice problems with a graphing calculator. This worksheet is designed as a practice test for the A.P. Exam and should be timed.
In this Calculus worksheet, 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.
In 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.
In this trigonometry activity, 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.
In this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
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.
In this calculus activity, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows a proof that derivative of ex = ex. Note: The video titled ï¿½Proof of Derivatives of Ln(x) and e^x,ï¿½ has a clearer explanation of this proof.
Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem provides a review of the product rule, slope-intercept form of a line, and steps for finding the equation of a line. It also, provides a nice visual understanding of the problem by graphing both the original equation and the found tangent line.
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.
Pupils explore natural logarithms. In this calculus lesson, students investigate exponential growth and integral calculus which leads to the natural logarithm function. Pupils solve problems involving exponential growth.
In this circuits worksheet learners 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.
In this differentiation worksheet, students use differentiation rules to solve given functions. This four-page worksheet contains 8 problems.
In this capacitance learning exercise, 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.
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.