All this to say, I don't know if this is good or not since I haven't gotten to test it out on students yet, but here it is. Use/modify if you'd like!

In the "notice/wonder" section of f(x)=a^x, one student said he noticed that the derivative was proportional to the given function. This made me a very proud momma and was a perfect segue into finding the derivative when a is different from

Desmos also sent me this great online activity.

*e*. (We explored f(x)=2^x, f'(x), and g(x)=lna(2^x), and found that a=2).Desmos also sent me this great online activity.

Lovely!

ReplyDelete(I want to put together a calculus textbook (CC of course) that refers to all the goodness I am seeing online. This is a gem.)

Thanks, Sue!

DeleteI would LOVE to help you compile some of the great calculus resources. Please let me know if I can help!