Daily Desmos 112a (Advanced)
Kate Nowak (@k8nowak)
On to the Challenge!
So, a construction challenge. First, graph the red polynomial function f(x). Then, graph the line that is tangent to f(x) at the point (-1, f(-1)).
For bonus points, make the point of tangency draggable, so that you can see the line tangent to the function at any point. Here is the sketch itself so you can see how dragging the point behaves. (Beware: I put a bunch of blank lines before the work, so hopefully you won’t be able to see how it’s done when you click the link. However, the spoilers are there if you scroll down.)
2 thoughts on “Daily Desmos 112a (Advanced)”
Nice one Kate. This is a great activity idea for Calc. Here’s my solution with explanations.
I think I got it too! But not as simple as Dan. I didn’t realize desmos could do derivtives, so I did that part on my own. Let me know what you think.