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Convex function
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371	4 Diﬀerential Calculus 4.1 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2012-10-27 20:25:48 Differential calculus Differentiation rules Continuous function Mean value theorem Convex function Derivative Chain rule Maxima and minima Quotient rule Mathematical analysis Mathematics Calculus
372	Name Midterm Exam, Econ 210A, Fall 2010 Answer as many questions as you can. Put your answers on these sheets. Question 1. Let f (x1 , x2 ) = Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2010-10-26 16:17:27 Convex analysis Economics Hicksian demand function Marshallian demand function Convex function Quasiconvex function Consumer choice GEC Consumer theory Mathematical analysis Demand
373	Name Final Exam, Economics 210A, December 2012 There are 8 questions. Answer as many as you can... Good luck! 1) Let S and T be convex sets in Euclidean n space. Let S + T be the set {x\|x = s + t for some s ∈ S and so Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2013-12-03 15:02:14 Consumer theory Mathematical optimization Operations research Function Microeconomics Indifference curve Mathematics Functions and mappings Elementary mathematics
374	Name Midterm Examination: Economics 210A November 7, 2012 Answer Question 1 and any 4 of the other 6 questions. Good luck. 1) Let f be a real-valued concave function whose domain is a convex subset of Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2012-11-13 15:15:06 Consumer theory Economics Revealed preference PROPT Consumer choice Microeconomics Utilitarianism
375	4 Diﬀerential Calculus 4.1 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-10-28 12:19:20 Differential calculus Differentiation rules Continuous function Mean value theorem Convex function Derivative Chain rule Maxima and minima Quotient rule Mathematical analysis Mathematics Calculus
376	Midterm Exam, Econ 210A, Fall[removed]Elmer Kink’s utility function is min{x1 , 2x2 }. Draw a few indifference curves for Elmer. These are L-shaped, with the corners lying on the line x1 = 2x2 . Find each of the follow Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2008-11-19 18:29:11 Concave function Convex function Hessian matrix Quasiconvex function PROPT Logarithmically concave function Mathematical analysis Mathematical optimization Convex analysis
377	Rooftop Theorem for Concave functions This theorem asserts that if f is a differentiable concave function of a single variable, then at any point x in the domain of f , the tangent line through the point (x, f (x)) lies Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2014-10-20 14:23:39 Calculus Continuous function Concave function Numerical software TomSym PROPT Mathematical analysis Mathematics Convex analysis
378	Name Midterm Examination: Economics 210A October 2011 The exam has 6 questions. Answer as many as you can. Good luck. 1) A) Must every quasi-concave function must be concave? If so, prove it. If not, Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2011-10-26 14:09:17 Mathematical optimization Counterexample Logic Quasiconvex function Derivative Concave function Mathematical analysis Mathematics Convex analysis
379	Midterm Exam, Econ 210A, Fall[removed]Elmer Kink’s utility function is min{x1 , 2x2 }. Draw a few indifference curves for Elmer. Find each of the following for Elmer: • His Marshallian demand function for each good. Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2008-11-03 16:55:56 Concave function Convex function Quasiconvex function Utility Hessian matrix Expected utility hypothesis Insurance Dracula Logarithmically concave function Mathematical analysis Mathematical optimization Convex analysis
380	Lecture 20: Convexity and Optimization We say that if f is a once continuously differentiable function on an interval I, and x is a point in the interior of I that x is a critical point of f if f 0 (x) = 0. Critical poin Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-11-18 10:34:32 Convex analysis Differential calculus Convex function Concave function First derivative test Continuous function Second derivative test Derivative Mean value theorem Mathematical analysis Mathematics Calculus

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