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Derivatives Lesson Oct 13
1.
2.
If f ' (x) > 0 on an interval then f is increasing on that interval.
3.
If f ' (x) < 0 on an interval then f is decreasing on that interval.
4.
Critical Numbers: A number c in the domain of a function f is called a
critical number if either i) f '(c) = 0 or ii) f '(c) does not exist
5.
f(x) = x3 x2 2x
6.
f ' (x)
7.
Point of inflection: A point on the graph where the curve changes concavity
8.
Use nDeriv to find the local minimum of
f(x) = x3 4x2 + 3x 5
9.
f(x) = x3 4x2 + 3x 5
10.
11.
12.
Now give it a try:
Exercise 2.5 Questions 1 15, odd only
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