Implicit Differentiation

I’ve never liked memorizing formulas. I would rather know where they came from or be able to tie it to something I already know. One of my least favorite formulas to remember and explain was the formula for the second derivative of a curve given in parametric form. No longer. If  and, then the tradition…

Foreshadowing the Chain Rule

I assigned another very easy but good problem this week. It was simple enough, but it gave a hint of things to come. Use the Product Rule to find the derivative of . Since we have not yet discussed the Chain Rule, the Product Rule was the only way to go.  And likewise for higher…