Problem 9
Page 268
Section 4.2: Maximum and Minimum Values
Chapter 4: Applications of Differentiation
Given information
Function is continuous within it's domain 
and function has absolute maximum at 
, absolute minimum at 
, local maximum at 
and local minimum at 
.
Step-by-step explanation
As function is continuous within the domain but no information about it's differentiability is provided so, we will adopt simplest function which remains continuous within a domain which is linearly variable function or a straight line. As function has absolute minimum at , but we have to start from 
, therefore assume value of function at this point be 
, then value of function at can be taken as 
, now function has local maximum at therefore assume value of function at this point be 
, also function has local minimum at but here absolute minimum occurs at , which is also local minimum therefore assume value of function at 
be and finally function has absolute maximum at therefore take value of function at this point be 4.
Single Variable Calculus: Early Transcendentals
Solutions
Chapter
Section
- Problem 1
- Problem 2a
- Problem 2b
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 11a
- Problem 11c
- Problem 11c
- Problem 12a
- Problem 12b
- Problem 13a
- Problem 13b
- Problem 14a
- Problem 14b
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 20
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26
- Problem 27
- Problem 28
- Problem 29
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 52
- Problem 53
- Problem 54
- Problem 55
- Problem 56
- Problem 57a
- Problem 57b
- Problem 58a
- Problem 58b
- Problem 59a
- Problem 59b
- Problem 60a
- Problem 60b
- Problem 61
- Problem 62
- Problem 63
- Problem 64a
- Problem 64b
- Problem 65a
- Problem 65b
- Problem 65c
- Problem 66a
- Problem 66b