Soo...what to say for the seventh week of calculus. I guess this week was a review week. Monday and Tuesday were basically review of optimization, then Wednesday we took a quiz on optimazation [which hopefully i did okay on] and thursday everyone went to the river center to look at colleges, then friday we worked on the packets that will help us for our nine week exams! [91 pages!]
so lets review shall we..
for the FIRST DERIVATIVE TEST you let c be a critical point of a function f taht is continuous on an open interval containing c. if it is differentiable on the interval, except possibly at c, then f[c] can be classified as either:
relative min [negative to positive]
relative max [positive to negative]
for the SECOND DERIVATIVE TEST you are dealing with concavity, & points of refection. remember though that there is a shortcut for the max/min. Also the points of inflection only happen if there is a change in concavity.
for ABSOLUTE MAX OR MIN you will do the first derivative test, plug in the critical valuse you get when you solve the first derivative, then plug in the endpoints into the original.
and now for OPTIMIZATION..umm i understand how to do the steps: you take the equations given and solve for one value in the secondary equation, then your answer will be pluged in the primary equation to bo solved for the variable and whatever you get you plug it into the secondary equation in order to get the other value needed. the values you get..are your answer! HOWEVER, WHAT I DON'T GET is how exactly to figure out what is your primary and secondary equation!
other than that..i guess it's just knowing how to take derivatives and sloving which i'm pretty good at i just mess up simple mistakes
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