ESTIMATING DERIVATIVES FROM A TABLE WORKSHEET

Use the tables to estimate the value of the derivative at the given point. Indicate units of measures.

Problem 1 :

estimate-the-deri-of-a-fun-q1

a.   f'(8)

b.   f'(3.5)

Solution

Problem 2 :

estimate-the-deri-of-a-fun-q2

a. f'(17) 

b. f'(24.5) 

Solution

Problem 3 :

estimate-the-deri-of-a-fun-q3

a. f'(1.5) 

b. f'(11) 

Solution

Problem 4 :

estimate-the-deri-of-a-fun-q4

a. f'(47.5) 

b.  f'(9) 

Solution

Problem 5 :

estimate-the-deri-of-a-fun-q5

a. f'(20) 

b. f'(82.5) 

Solution

Problem 6 :

estimate-the-deri-of-a-fun-q6

a. f'(25.5) 

b. f'(13.5) 

Solution

Answer Key

1) a) f'(8) = 47.5 visitors/hours

b)  f'(3.5) = 119 visitors/hours

2)  a)  f'(17) = -1.667  ºC per cm

b)  f'(24.5) = -3.667  ºC per cm

3)  a)  f'(1.5) = 5 students/year2

b)  f'(11) = -1.125 students/year2

4)  a)  f'(47.5) = 3 pages per day

b)  f'(9) = -3.875 pages per day

5)  a)  f'(20) = -10.75 gallons/sec2

b)  f'(13.5) = -3 yards per carry

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