6) a. Given that f is a differentiable function of x, show that the following notation of elasticity of a function El(f) = d(ln(f))/dx / d(In x)/dx corresponds with the definition of elasticity of a function f. b. Given that f and g are differentiable functions of x, prove that the elasticity of the product, Elx(f/g) = Elx(f) − Elx(g) c. Using part (b) above or otherwise calculate the following elasticity with respect to x, Elx (x−1/x5+1)
6) a. Given that f is a differentiable function of x, show that the following notation of elasticity of a function El(f) = d(ln(f))/dx / d(In x)/dx corresponds with the definition of elasticity of a function f. b. Given that f and g are differentiable functions of x, prove that the elasticity of the product, Elx(f/g) = Elx(f) − Elx(g) c. Using part (b) above or otherwise calculate the following elasticity with respect to x, Elx (x−1/x5+1)
Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter6: Demand And Elasticity
Section: Chapter Questions
Problem 4TY
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6) a. Given that f is a differentiable function of x, show that the following notation of elasticity of a function El(f) = d(ln(f))/dx / d(In x)/dx corresponds with the definition of elasticity of a function f.
b. Given that f and g are differentiable functions of x, prove that the elasticity of the product,
Elx(f/g) = Elx(f) − Elx(g)
c. Using part (b) above or otherwise calculate the following elasticity with respect to x, Elx (x−1/x5+1)
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