I've been going to a High School to do observation for a class I have. One of the students there asked me why it was that d/dx(sinx) = cosx, d/dx(cosx)= -sinx. I thought about it, and it can be proved using the Maclaurin series, but a High School student hasn't seen those yet. So...I wonder if there is another way to explain it to them?
Maybe that's why we're just asked to memorize them. I don't really remember what my High School teacher told me.
I believe you dropped a negative. Also, that's the sort of question to which I would respond with something like "That's such a good question that you should ask the teacher so she can explain it to the whole class". That way you avoid answering something you can't explain without exploding their not-fully-developed minds.
ReplyDeleteThank you for your input. Another way I was told,was to revert to the definition of a derivative.
ReplyDeleteWhy is sergeant spelled properly in your name here but not at the top? And when I click on the improperly spelled one at the top it takes me to a profile page that has it properly spelled. It makes no sense. I guess it must be similar to why my first comment still says Unknown.
ReplyDeleteI don't know...
ReplyDeleteWhy are you taking the mystery out of life?
There, I have fixed it. Thank you for pointing it out.
ReplyDelete