Post #31

This week in Calculus, we took AP's and then corrected and did key words on our own..I actually did decent on these! So, to expain a few things..

I'm still having trouble with substitution..but, I'm trying..

okay, let me explain the chain rule..
that i now understand for derivatives.

If your given f(g(1)))' and they also tell you f(x) = x^3 +4x ; g(x) = 4x

you start off with plugging in the formula then taking the derivative by chain rule..

so, start with

(4x)^3 + 4(4x) Next, plug in 1 for the x's

4(1)^3 + 4(4(1))

= 64 + 8 = 72

These ahve gotten alot either to me because i finally undersatnd...
and i now know that if they ask for a derivative of that thing, you just find it like you have sin or cosine or any other kind of chain rule derivative... :)

So, lets get to the things i don't understand..

instantaneous speed..i forgot the formula, or how you do it!

and average rate of change..or mean value theorem..i can't ever remember how to do those!