blog on MLK day

we have a test this week on this stuff, so a review is much needed

This is how you solve differentiable. Differentiate both sides with respect to x. d_/dx
2) Collect all dy/dx terms on one side, and move the other terms to the other side.
3) Factor out dy/dx.
4) Solve for dy/dx.
5) Simplify

To do the first derivative you do the following:
1.take the derivative. set it equal to zero.

2.find anywhere that it is not differentiable.

3. set up intervals using the first two steps of the
process.

4. plug in a number from each interval you
found into the derivative equation.

5. if it is +ve it is increasing.
if it is -ve it is decreasing.

6. determine the max or min from
step 5
increasing - max
decreasing – min
I found otimazation was really easy, but these are the steps

1. identify all given quanities and what
you are to find.

2. find a primary equation:
**hint-it is the one that is closest
to the word maximize or minimize.

3. find a secondary equation if necessary
(only if there are two variables in the
equation in step two)

4. find a max or min by plugging into
the primary equation and do the first
derivative test. instead of intervals
plug back into primary equation to
find the highest and lowest value