Reflection

This week in calculus we began learning Chaprer 3. In Section 3.1 we learned how to find a max or min, and its is the same as finding a horizontal tangent line. When working a problem like this there are steps that must be followed.
STEPS:
1) Take derivative and set equal to 0.
2) Find any place that the function is not differentiable.
3) Plug in to get y-value if asking about max or min.
4) If on an interval plug in to get a y-value.
5) Highest-max, lowest-min

In Section 3.2 we learned about the Rolle Theorem and the MVT Theorem, but I'll give an example of the Rolle Theorem.
EXAMPLE:
Let f(x) = x^4 - 2x^2
Find all values c in the interval (-2, 2) such that f'(c) = 0.
1. ok
2. ok
3. f(-2) = (-2)^4 - 2(-2) = 8
f(2) = (2)^4 -2(2)^2 = 8
4. f'(x) = 4x^3 - 4x = 0
4x(x^2 - 1) = 0
x = 0, + or - 1