Reflection #12

I suck at this stuff and I’ma prolly bomb the test tomorrow, but here’s some stuff you can study:

Steps for finding extremas, maxs, or mins:

1. take the derivative and set it equal to zero. Solve for x.
2. Find anywhere the function isn’t differentiable.
3. plug in to get a y-value if the problem is asking
about a max or min specifically.
4. Set up intervals
5. the highest number is the max.
the lowest number is the min.

When trying to find critical numbers you only do the first 2 steps.

Rolle's Theorem:

1. make sure the function is continuous.
2. make sure the function is differentiable.
3. make sure the y values match.
4. take the derivative and set it equal to zero
then solve for x.

Mean Value Theorem:

Similar to Rolle’s Theorem but after you do the first to steps you have to set the derivative equal to the slope of the function and solve for x.