Calculus Review Applications of Derivatives from Graphs

Question 1

Given the graph of f ' (derivative of f), where does f have a relative max?

Accepted Answer

x=3

Question 2

Given the graph of f ' (derivative of f), for -6<x<8, where is f concave up?

Accepted Answer

(-0.7, 2) U (5.7, 8)

Question 3

Given the graph of f ' (derivative of f), where is f ' negative?

Accepted Answer

(3, 5.5)

Question 4

Given the graph of f ' (derivative of f), where is f increasing?

Accepted Answer

(0, 3) U (5.5, 6)

Question 5

Given the graph of f ' (derivative of f), for -6<x<8, where does f has a relative max?

Accepted Answer

x=-2

Question 6

Given the graph of f ' (derivative of f), for -6<x<8, where is f ' increasing?

Accepted Answer

(-0.7, 2) U (5.7, 8)

Question 7

Given the graph of f ' (derivative of f), where is f concave up?

Accepted Answer

(0, 1) U (5, 6)

Question 8

Given the graph of f ' (derivative of f), for -6<x<8, where is f concave down?

Accepted Answer

(-6, -0.7) U (2, 5.7)

Question 9

Given the graph of f ' (derivative of f), for -6<x<8, where is f decreasing?

Accepted Answer

(-2, 7)

Question 10

Given the graph of f ' (derivative of f), for -6<x<8, where is f ' decreasing?

Accepted Answer

(-6, -0.7) U (2, 5.7)

Question 11

Given the graph of f ' (derivative of f), where is f ' decreasing?

Accepted Answer

(1, 5)

Question 12

Given the graph of f ' (derivative of f), for -6<x<8, where does f has a POI?

Accepted Answer

x=-0.7, x=2, x=5.7

Question 13

Given the graph of f ' (derivative of f), for -6<x<8, where is f ' positive?

Accepted Answer

(-6, -2) U (7, 8)

Question 14

Given the graph of f ' (derivative of f), where does f have a relative min?

Accepted Answer

x=5.5

Question 15

Given the graph of f ' (derivative of f), where is f decreasing?

Accepted Answer

(3, 5.5)

Question 16

Given the graph of f ' (derivative of f), for -6<x<8, where does f has a relative min?

Accepted Answer

x=7

Question 17

Given the graph of f ' (derivative of f), where does f have a POI?

Accepted Answer

x=5, x=1

Question 18

Given the graph of f ' (derivative of f), where is f ' positive?

Accepted Answer

(0, 3) U (5.5, 6)

Question 19

Given the graph of f ' (derivative of f), where is f ' increasing?

Accepted Answer

(0, 1) U (5, 6)

Question 20

Given the graph of f ' (derivative of f), for -6<x<8, where is f increasing?

Accepted Answer

(-6, -2) U (7, 8)

Question 21

Given the graph of f ' (derivative of f), where is f concave down?

Accepted Answer

(1, 5)

Questions 21