Differentiation Teacher Resources
Find Differentiation educational ideas and activities
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Students analyze implicit differentiation using technology. In this calculus activity, students solve functions dealing with implicit differentiation on the TI using specific keys. They explore the correct form to solve these equations.
In this circuits worksheet, students answer 25 questions about passive integrator circuits and passive differentiator circuits given schematics showing voltage. Students use calculus to solve the problems.
In this calculus worksheet, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
In this calculus worksheet, students solve problems using differentiation and the chain rules. They take the derivatives of equations using specific equations. There are 21 problems with an answer key.
In this calculus activity, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.
Students 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 instructional activity, 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.
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.
In this Calculus activity, 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 activity contains seventeen multiple choice questions. Answers are not provided.
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 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.
For this trigonometric functions worksheet, students differentiate inverse trigonometric functions using the chain rule. There are 15 questions.
In this calculus instructional 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.
In this video, Sal takes on the challenge of proving both the derivative of ln x = 1/x and of ex = ex, showing that no circular logic is used in the proof. It contains a clearer version of both proofs shown in the videos titled, _Proof d/dx e^x = e^x” and _Proof: d/dx (ln x) = 1/x.”
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 "Proof of Derivatives of Ln(x) and e^x,Ó 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.
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 instructional activity, students use differentiation rules to solve given functions. This four-page instructional activity contains 8 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.
Students investigate an article on local linearity. In this calculus instructional activity, students read about the application of math in the real world. They gain insight from the teachers view of how to teach and relate the topic to the real world.