Download presentation

Presentation is loading. Please wait.

Published byReed Fieldhouse Modified over 3 years ago

1
Maxima and Minima of Functions Maxima and minima of functions occur where there is a change from increasing to decreasing, or vice versa.

2
Maxima and Minima of Functions Maxima and minima of functions occur where there is a change from increasing to decreasing, or vice versa. -3 4

3
Maxima and Minima of Functions Maxima and minima of functions occur where there is a change from increasing to decreasing, or vice versa. -3 4 Relative Max.

4
Maxima and Minima of Functions Maxima and minima of functions occur where there is a change from increasing to decreasing, or vice versa. -3 4 Relative Max. Relative Min.

5
Maxima and Minima of Functions

12
INCREASING DECREASING

13
Maxima and Minima of Functions

14
Relative Minimum

15
Maxima and Minima of Functions

22
INCREASING DECREASING INCREASING

23
Maxima and Minima of Functions Relative Maximum Relative Minimum

24
Maxima and Minima of Functions

25
The difference in this example is we are restricted to a specific interval. So the edges of the interval will act as critical points along with the ones we find using the first derivative. They will be relative max or min depending on their position.

26
Maxima and Minima of Functions The difference in this example is we are restricted to a specific interval. So the edges of the interval will act as critical points along with the ones we find using the first derivative. They will be relative max or min depending on their position. Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

27
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

28
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

29
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

30
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

31
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

32
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

33
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum.

34
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum. Relative Maximum

35
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum. Relative Maximum This is neither because there is no change in increasing/decreasing. It is called an “inflection point” which we will discuss later…

36
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum. Relative Maximum Relative Minimum Change from decreasing to increasing…

37
Maxima and Minima of Functions Moving left to right : If the edge has a decreasing arrow following, it is a relative maximum. If the edge has an increasing arrow following, it is a relative minimum. If the edge has a decreasing arrow in front of it, it is a relative minimum. If the edge has an increasing arrow in front of it, it is a relative maximum. Relative Maximum Relative Minimum Relative Maximum

Similar presentations

OK

Relative Extrema Lesson 5.5. Video Profits Revisited Recall our Digitari manufacturer Cost and revenue functions C(x) = 4.8x -.0004x 2 0 ≤ x ≤ 2250 R(x)

Relative Extrema Lesson 5.5. Video Profits Revisited Recall our Digitari manufacturer Cost and revenue functions C(x) = 4.8x -.0004x 2 0 ≤ x ≤ 2250 R(x)

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on event planning and management Ppt on marketing management by philip kotler video Ppt on trans siberian railway Download ppt on transportation and communication Ppt on surface area and volume of cylinder and cone Ppt on superconductors applications Ppt on mars one hoax Ppt on bank concurrent audit Ppt on joints of human body Projector view ppt online