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Subject:Economics Course:1540:ECON

1. Compute the derivatives of the following functions:

a. y = 5

b. y = 4

c. y = 9 10

d. y = 7 2.

Differentiate with respect to x:

a. + 1

b. + 2

c. 3 5 + 2 4 + 5

d. 1 3 7

Differentiate with respect to x using either the Quotient Rule or Product Rule:

a. 1 6

b. +1 1

c. ( 2 + 1)

Use the chain rule to find dy/dx for the following:

a. = 1 ( 2++1) 5

b. = (1 ) 3 5.

The total cost of producing 0 units of a commodity is () = 3 90 2 + 7500.

a. Find the marginal cost function.

b. For what value of x is the marginal cost the least?

6. Find by implicit differentiation if 3 2 + 2 = 5.

7. Find and 2 2 using implicit differentiation:

a. 2 = 1

b. + 3 = 2

c. 5 = 6

8. Find the elasticities of the functions given by the following formulas:

a. 3 3

b.

c. 100 100

d.

9. Find the linear approximation to the following functions about x = 0:

a. () = (5 + 3) 2

b. () = (1 + ) 5

c. () = (1 ) 1 4