Product Rule Teacher Resources

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Sal defines the product rule and then shows two examples of how it is used. He then shows an example of finding the derivative by using both the chain rule and product rule together.
In the first example, instead of actually using the quotient rule, Sal rewrites the denominator as a negative exponent and uses the product rule. In subsequent examples, Sal shows, but does not prove, the derivative of several interesting functions including ex, ln x, sin x, cos x, and tan x.
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.
Students define the product rule and use it to solve problems. In this calculus lesson, students review rules they learned and memorize the new rules as it relates to derivatives. They solve problems through differentiation by proving the product rule.
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 explore the concept of limits.  In this calculus lesson, 12th graders investigate the limit rules for both finite and infinite limits through the use of the TI-89 calculator.  The worksheet includes examples for each rule and a section for students to try other examples. 
Students investigate derivatives using the product rule.  In this derivatives using the product rule lesson, students use the Ti-89 to find the derivatives of functions such as x^2 and sin(x) using the product rule.  Students visualize the process of finding the derivatives using the product rule on the Ti-89.
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.
Pupils solve problems using integration by parts in this calculus instructional activity. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
This lesson plan provides an introduction to integration by parts. It helps learners first recognize derivatives produced by the product rule and then continues with step-by-step instructions on computing these integrals. It also shows integrating special forms with e and trigonometric functions. This resource includes handouts and a practice worksheet. 
For 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.
In this calculus worksheet, students perform integration by parts. They solve differential equations as they use integration by part to solve unlike terms. There are 23 problems with an answer key.
Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one page interactive worksheet contains fifty-two problems.  Answers are not provided. 
Twelfth graders investigate derivatives.  In this calculus lesson plan, 12th graders use technology to explore the basic derivatives and how to choose the proper formula to use them.  The lesson plan requires the use of the TI-89 or Voyage and the appropriate application.
Students construct the graph of derivatives using a tangent line.  In this construction of a graph of a derivative lesson, students use their Ti-Nspire to drag a tangent line along a graph.  Students graph the slope of the tangent line.  Students discuss the similarities and differences between the original graph and its derivative.
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.
Twelfth graders assess their knowledge of trig functions and their properties. For this calculus lesson, 12th graders take a test on derivatives, trig functions, and the quotient rule. There are 2 different versions of the same test available.
Students review integrals and how they apply to solving equations. In this calculus lesson plan, students assess their knowledge of derivatives, rate of change, and lines tangent to a curve. This assignment contains two version of the same test concept.    
Students review derivatives and equations for their test. For this calculus lesson, students review average rate, parametric equations, tangent line to a curve and value of a derivative to prepare and show mastery on a chapter test. They show proficiency on rig derivatives and differential equations.

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