Deck 3: Differentiation Rules

Question 1

Answer 1

Question 2

Find the most general antiderivative of the function.

Answer 2

Question 3

Answer 3

2.92

Question 4

Estimate the extreme values of the function.Round the answers to the nearest hundredth.

Question 5

Question 6

Question 7

Question 8

The average cost of producing x units of a commodity is given by the equation Find the marginal cost at a production level of 1,255 units.

Question 9

Question 10

Find the local and absolute extreme values of the function on the given interval.

Question 11

Question 12

Question 13

Find the absolute maximum of the function.

Question 14

Find the minimum points of the function.

Question 15

Question 16

Find the local and absolute extreme values of the function on the given interval.

Question 17

Question 18

A steel pipe is being carried down a hallway 14 ft wide.At the end of the hall there is a
right-angled turn into a narrower hallway 7 ft wide.What is the length of the longest pipe that can
be carried horizontally around the corner?

Question 19

Question 20

The quantity demanded per month of an item is related to the unit price by the demand equation

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Find the maximum and minimum points of the function.

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

A steel pipe is being carried down a hallway 14 ft wide.At the end of the hall there is a
right-angled turn into a narrower hallway 7 ft wide.What is the length of the longest pipe that can
be carried horizontally around the corner?

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

Question 58

The size of the monthly repayment k that amortizes a loan of A dollars in N years at an interest rate of r per year, compounded monthly, on the unpaid balance is given by

Question 59

Question 60

Question 61

Question 62

Question 63

Question 64

Question 65

Question 66

Question 67

Question 68

Question 69

Question 70

Question 71

Question 72

Question 73

Question 74

Question 75