ECON 11A Study Guide - Midterm Guide: Marginal Revenue, Marginal Product, Demand Curve

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15 Oct 2018
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2u + 1: k(u) , y = ln(5x + 3, s = e0. 05t. The derivatives: f(cid:48)(x) = (x3 3x2 + 1) 2/3 (3x2 6x) = 2x + 2 u)(2u + 1) 2(u ln u) (2u + 1)2 (ln u + 1)(2u + 1) 2u ln u (2u + 1)2. 2u + ln u + 1 (2u + 1)2 x2 2x (x3 3x2 + 1)2/3 . power rule. chain rule. chain rule ln x ln 5. 3u = e(ln 3)u, now use chain rule. log5 x = Quotient rule and product rule for the numerator. Then clean up: the consumption function for a small country is given by (cid:18) e0. 95y e0. 2y + 5 (cid:19) C = ln where y is national income, measured in $ billions. (cid:18) e9. 5 (cid:19: when y = 10 consumption is C(10) = ln: first note that c = ln e0. 95y ln(cid:0)e0. 2y + 5(cid:1) = 0. 95y ln(cid:0)e0. 2y + 5(cid:1) .

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