Download Derivative Sketching --- Calculus --

Name_________________________
Meaning of Derivatives Multiple Choice
1) According to the user’s manual that came with Mr. Haas’ new heart
rate monitor, a persons age can be used to determine their maximum
heart rate (measured in heartbeats per minute).
a) Use function notation to write the statement: At age 20 the maximum
heart rate is 200 beats per minute.
b) What is the meaning of the statement f’(30)=-1?
1) Every 30 years maximum heart rate decreases by 1 beat per minute.
2) At age 30 maximum heart rate is 1 beat per minute.
3) Every 1 year maximum heart rate decreases by 30 beat per minute per year.
4) At age 30 maximum heart rate decreases by 1 beat per minute per year.
2) Mr. Haas enters his heart rate information in the heart rate
monitor and goes for a run. The heart rate monitor continuously
records Haas’ total calorie expenditure during the 60 minute run.
a) Use function notation to write the statement: After 8 minutes of
exercise Haas burned a total of120 calories.
b) What is the meaning of f’(20)=15?
1) At 15 minutes the rate at which Haas burns calories is increasing at 20 calories
per minute.
2) At 20 minutes the rate at which Haas burns calories is increasing at 15 calories
per minute.
3) At 20 minutes Haas is burning calories at a rate of 15 calories per minute.
4) At 15 minutes Haas is burning calories at a rate of 20 calories per minute.
c) What is the meaning of f’’.
d) If Haas runs at a constant pace would the value of f’’ most likely be positive, negative,
or zero?
e) As Haas begins running up a hill would the value of f’’ most likely be positive, negative
of zero?