Local minimum and local maximum of a function






Max/min for functions of two variables

For a function of one variable f(x)
max min var


Unconstrained Optimization

13 ago 2013 We maximize utility functions minimize cost functions
Unconstrained Optimization


The First and Second Derivatives

We can often use the second derivative of the function however
lecture


Maximum and Minimum Definition: Definition: Let f be defined in an

If f has a local maximum or local minimum at c then c is a cirtical number of f. This gives us a way to find the local minima and local maxima of a function. ( 
calculus note app derivative





EXTREMA AND NOWHERE DIFFERENTIABLE FUNCTIONS 1

9 abr 1984 ABSTRACT. We give simple unified constructions of continuous
RMJ


SOLUTIONS Problem 1. Find the critical points of the function f(x y

Find the critical points of the function f(x y)=2x3 − 3x2y − 12x2 − 3y2 and determine their type i.e. local min/local max/saddle point.
final practice sol


Lecture 10: 4.2: Maximum and minimum values. Def. A function f

By the above theorem a local maximum or local minimum has to be a critical point. However not all critical points are local maximum or minimum. For functions 
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Local and absolute extrema saddle points (Sect. 14.7) Review

▻ Second derivative test. ▻ Absolute extrema of a function in a domain. Definition of local extrema for functions of two variables.
L th





4 Using The Derivative - 4.1 Local Maxima and Minima

If a function continuous on an interval (its domain)
Chapter


Finding Local Maxima and Minima on TI-85

3 sept 2002 over the interval ( -1 3 ) and find the local maxima and local minima. Clear previously saved functions in the Y= window.
C LocalMaxMin


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