Calculus teachers- Out of curiosity, how do you introduce the quotient rule? One of my favorite realizations was that it can be derived from the product rule... h(x)= f(x)/g(x) becomes h(x)*g(x)= f(x) then just product rule and solve for h'(x)
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you can also do product rule on gh\inv but then you run the risk of students just using that for the rest of the semester
aug 29, 2025, 12:24 am • 2 0 • view
When I had students do this, it had a very student centric curricula. They were used to playing around with the material, usually a bit round about, then we'd solidify/ formalize the concepts as a class. The derivation of the product rule activity I used was pretty awesome...
aug 29, 2025, 1:13 am • 1 0 • view
Found it. I definitely was not the originator of the idea... drive.google.com/file/d/1HEFO...
aug 29, 2025, 1:34 am • 3 0 • view
I love giving this as a homework problem. It’s a nice derivation.
aug 29, 2025, 12:57 am • 2 0 • view
I wish I could do math
aug 29, 2025, 10:50 pm • 0 0 • view
As I used to tell my students - I dont really care if you get the right answer (which I would argue is "doing" math) I want to see your thought process. Id much rather they get the wrong answers but with sound logic than the right answer with faulty logic. Everybody can problem solve.
aug 29, 2025, 11:04 pm • 0 0 • view
Manipulation is such a wonderful tool! I remember having to deal with trig tables and multiplying or dividing numbers with four place decimals. So when doing something like solving a right triangle comes up, having reciprocal functions means you can always choose multiplication.
aug 29, 2025, 5:21 pm • 0 0 • view
My memory is awful. After 20yrs of teaching I now know most things. but early on, I had to anchor my understanding in a few things & manipulate those to find the thing I needed I knew sin^2(x) + cos^2(x)=1, but couldn't remember the others.. but knew how to get them! More work, but less retention
aug 29, 2025, 5:32 pm • 1 0 • view
Ooh nice!
aug 29, 2025, 12:21 am • 2 0 • view