The product rule and the quotient rule are helpful in regards to differentiating a function. However, they can be tricky if the student doesn't understand the rules. Even then, understanding isn't enough. One must apply it and be able to do various problems while keeping in mind the foundational aspects of the two rules. After all, practice makes perfect.
Regardless of whether or not you are a fledgling or a pro at the product and quotient rule, it doesn't hurt to do a little review.
While the two parts of the product rule can be switched around due to it being addition, the quotient rule does not allow for switching to occur as it involves subtraction.
For example, nine minus five is different than five minus nine. For convenience sake, keep them both in order at all times.
This is one of the coolest blog lessons I've ever seen!! Very creative! I think you did a great job explaining the product and quotient rule!
ReplyDeleteOmg you put so much effort into this. Good job! I love your examples and drawing. Very clear and creative Yan! Too bad I can't do math or draw like you.
ReplyDeleteNICE JOB! Did you draw this? I didn't like quotient rule that much, but after seeing these, I feel like it gave me a better understanding of how quotient rule works! Thank you!
ReplyDeleteyan,
ReplyDeleteyou put a lot of work into this blog and it turned out really well! your use of creative illustrations really helps to motivate your audience to stay with you throughout the lesson. good job of cautioning about the differences of switching with the product rule and the quotient rule. fantastic work!
professor little