Module 3 - Group Discusion: Efficiency Rules! - Mod 3 DB Group 6 Find & Post For this discussion, you will work in groups to determine the most efficient rule to use

Module 3 - Group Discusion: Efficiency Rules! - Mod 3 DB Group 6

Find & Post

For this discussion, you will work in groups to determine the most efficient rule to use. Many “rules” in mathematics are related to efficiency, though multiple ways to get to the correct solution abound. In this activity, you will use two legitimate solution paths and experience a difference in efficiency.

Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions using the Canvas Equation Editor along with explanations of the intermediate steps that demonstrate your understanding of the derivative

• ( 4 x + 6 ) ( 9 x − 5 )
• 4 x 2 ( 3 x 3 − 2 x 2 + 5 x )
• ( 3 x 2 − x + 1 ) ( 7 − x 6 )
• ( h 3 − 5 ) ( 3 h 2 − 5 h − 4 )

Submit your initial post by the fourth day of the module week.

Review & Discuss 

After you have completed your posts, compare and contrast your work to that of your classmates. Engage in a dialogue with your group, addressing one or more of the following areas:

• Do you agree with the work and explanations?
• Where are the errors in the proposed solutions (mine or classmates')?
• Which solution is correct? Why? Is there more than one way to get to the correct solution?
• Are some of the explanations clearer than others? What makes them easier to understand?
• Do you have suggestions for improvement?
• Have we each given thorough explanations for our work?
• Which way is easier?

Reply to at least two classmates with corrections to their solutions/explanations or with observations about their solutions.