MAXIMA AND MINIMA OF FUNCTIONS Lesson 2.2. Definitions Global extrema : If f(c) f(x) for all x in the domain of f, f(c) is the global maximum value of.
Extreme Values of Functions. Example: The mileage of a certain car can be approximated by: At what speed should you drive the car to obtain the best gas.
Local Maximum/Minimum of Continuous Functions. The intervals where a continuous function f (x) increases are exactly the intervals where f ’(x) > 0. The.
SECTION 1.7 Graphs of Functions. T HE F UNDAMENTAL G RAPHING P RINCIPLE FOR F UNCTIONS The graph of a function f is the set of points which satisfy the.
4.1 Extreme Values of Functions Greg Kelly, Hanford High School, Richland, Washington Borax Mine, Boron, CA Photo by Vickie Kelly, 2004.
APPLICATIONS OF DIFFERENTIATION 4. The method we used to sketch curves in Section 4.5 was a culmination of much of our study of differential calculus.
Modal Parameter Extraction Methods Modal Analysis and Testing S. Ziaei-Rad.
Announcements Topics: -sections 6.1 (extreme values), 6.4 (l’Hopital’s rule), and 7.1 (differential equations) * Read these sections and study solved examples.
DO NOW PLEASE 1.Put your TEST CORRECTIONS next to you on your table. I’ll collect it. 2.Solve: If f(2) = 20, and f’(2)= 0.6 what is the approximate value.
Activity 30:
Section 2.3 Properties of Functions. For an even function, for every point (x, y) on the graph, the point (-x, y) is also on the graph.
4.1 Extreme Values of Functions