Find the slope of each of the following production functions, y = f(L), where y is output and L is labor. Graph the functions f(L) and the derivative functions f'(L). Give the economic significance of the sign of the slope of the derivative functions (i.e., whether the derivative is increasing or decreasing in L). а. y = 10L b. y = 8L3 C. y = 3Lª

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Find the slope of each of the following production functions, y = f (L), where y is output and L is
labor. Graph the functions f(L) and the derivative functions f'(L). Give the economic significance
of the sign of the slope of the derivative functions (i.e., whether the derivative is increasing or
decreasing in L).
а.
y = 10L
b. y
= 8L3
C.
y = 3Lª
Transcribed Image Text:Find the slope of each of the following production functions, y = f (L), where y is output and L is labor. Graph the functions f(L) and the derivative functions f'(L). Give the economic significance of the sign of the slope of the derivative functions (i.e., whether the derivative is increasing or decreasing in L). а. y = 10L b. y = 8L3 C. y = 3Lª
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