Derivatives & THE QUOTIENT RULE - Partner Activity

This is a collaborative partner activity on finding the first derivative of a function using the quotient rule. Students need to know the derivatives of basic functions like x^n, square root of x, e^x, lnx, sinx and cosx and to apply the quotient rule to complete the problems successfully. (There are not included composite functions and the chain rule is NOT required!)

There are eight sections as in each section partner A has to find the derivative of the function f(x)/g(x) and partner B is given the function g(x)/f(x). Students will find that their answers are related - if partner A gets the answer dy/dx=h(x)/g^2(x), then partner B gets the answer dy/dx= -h(x)/f(x)^2. Thus collaborating students may succeed in finding the correct answers of all given problems.

Students can work in groups of two or you may divide the class into two large groups A and B. This activity will be more fun if it turns into competition between the groups.

Answer keys are included.

*This product is created with Google Slides, but it is uploaded here as a Power Point presentation and in PDF format.