Deck 4: Extension A: Applications of Differentiation

Question 1

Find the absolute maximum and absolute minimum values,if any,of the function on

Answer 1

absolute maximum: absolute minimum:

Question 2

Find the maximum and minimum points of the function.

Answer 2

0

Question 3

Find the critical number(s),if any of the function

A) 0,
B)
C)
D) 0,

Answer 3

0,

Question 4

Find the absolute minimum value(s)of on the interval [0,6].

Question 5

Find the critical number(s),if any,of the function

A)
B)
C)
D)

Question 6

Find the critical numbers of

A) 0, 3,
B) 0, 3,
C)
D) 0, 2,
E) 0, 2,

Question 7

Find the absolute maximum and absolute minimum values,if any,of the function on [0,25]

A) Abs. max.
Abs.min.
B) Abs. max.
Abs. min.
C) Abs. max.
Abs. min.
D) Abs. max.
Abs. min.

Question 8

Find any absolute or local maximum and minimum values of if

A) - 4 is an absolute minimum
B) - 4 is a local maximum
C) 6 is a local minimum
D) 6 is an absolute maximum
E) 6 is an absolute minimum
F) -2 is an absolute maximum

Question 9

Find the absolute maximum and absolute minimum values,if any,of the function on

A) Abs. max.
Abs. min.
B) Abs. max.
Abs. min.
C) Abs. max.
Abs. min.
D) Abs. max.
Abs. min.

Question 10

Find all the critical numbers of the function.

Question 11

Find the critical number(s),if any,of the function

A)
B)
C) -4
D)

Question 12

Find the absolute maximum and absolute minimum values,if any,of the function on

Question 13

The graph below is the graph of function f on the interval Find the absolute maximum and absolute minimum values of f (if they exist)and where they are attained.

Question 14

Find the critical number(s),if any,of the function

A)
B)
C) None of these
D)

Question 15

Find the critical number(s),if any,of the function

A) and
B) and
C)
D)

Question 16

Find the critical numbers of the function.

Question 17

Sketch the graph of on and find its absolute maximum and absolute minimum values,if any.