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 :

a. f^'(8)

b. f^'(3.5)

Problem 2 :

a. f^'(17)

b. f^'(24.5)

Problem 3 :

a. f^'(1.5)

b. f^'(11)

Problem 4 :

a. f^'(47.5)

b. f^'(9)

Problem 5 :

a. f^'(20)

b. f^'(82.5)

Problem 6 :

a. f^'(25.5)

b. f^'(13.5)

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