7th post

okay so the seventh week of calculus has passed and im stressing out so bad. this week we just reviewed and got packets to do.

REVIEW:

1. FIRST DERIVATIVE TEST: let c be a critical point of a function f that is continuous on a open interval containing c. If it is differentiable on the interval, except possibly at c, then f(c) van be classified as follows:
a.relative minimum if f1(x)changes from negative to positive at c.
b.relative maximum if f1(x)changes from positive to negative at c.

2. SECOND DERIVATIVE TEST: 1.points of reflection 2. intervals of concavity 3. short cut:max/min (multiple choice)4. beware points of inflection only happen if there is a change in concavity.

3. TO FIND ABSOLUTE MAX OR MIN: 1.first derivative test 2.plug in critical values to get y-values 3.plug endpoints into origional function 4.highest y-value 5.lowest y-value.

4. OPTIMIZATION: if your looking for the closest your looking for the minimum, cannot take the sq.rt of addition, ignore the sq.rt of the smallest number, for this you dont need to find points, distance formula, problem>secondary.
a. identify primary and secondary (primary the one your maximizing or minimizing)(secodary the other one)
b. solve secondary for 1 variable and plug into primary
c.take derivative
d. plug into secondary equation.

okay im having problem on the packets especially the chapter one so if anyone can kind of explain that like whats on it that would help me.