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 this calculus activity, learners 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 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.
Students investigate derivatives using the product rule.  In this derivatives using the product rule instructional activity, 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.
Young scholars 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.
Pupils solve problems using integration by parts in this calculus lesson. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
In this calculus learning exercise, 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 exam review worksheet, students find the limits of given problems.  They identify the slope of a line tangent to a function.  Students find the derivative of a function.  They determine the area between two curves.  This four-page worksheet contains 21 multi-step problems.
In this calculus learning exercise, 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 learning exercise, learners 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.
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. 
In this calculus worksheet, 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.
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 .
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. 
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 assess their knowledge of trig functions and their properties. In this calculus instructional activity, 12th graders take a test on derivatives, trig functions, and the quotient rule. There are 2 different versions of the same test available.
Young scholars review integrals and how they apply to solving equations. In this calculus lesson, 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. In 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.
For this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.

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