post 37

Well the AP test is here on Wednesday. So to review for it i will go over some old things we have learned this year.

The steps for optimization are:
1. Identify all quantities
2. Write an equation
3. Reduce equation
4. Determine domain of equation
5. Determine max/min values

The limit rules are:
1. If the degree on top is smaller than the degree on the bottom, the limit is zero.
2. If the degree on top is bigger than the degree on the bottom, the limit is infinity.
3. If the degree on top is the same as the degree on the bottom, you divide the coefficients to get the limit.

The steps of the First Derivative Test are:
1. Take the derivative of the original problem.
2. Set the first derivative equal to Zero.
3. Solve for x.
4. Create intervals for x
5. Pick a number in the intervals then plug that number in the first derivative for x.
6. Solve.

The steps of the Second Derivative Test are:
1. Take the derivative of the first derivative.
2. Set the second derivative equal to Zero.
3. Solve for x.
4. Create intervals for x.
5. Pick a number in the intervals then plug that number in the second derivative for x.
6. Solve.

The steps to finding absolute maxs and mins:

1. First derivative test

2. Plug critical values into the original function to get y-values

3. Plug endpoints into the original function to get y-values

4. The highest y-value is the absolute maximum

5. The lowest y-value is the absolute minimum

For questions I need help with the table problems and graph problems on free response.