Definition of minimum and maximum values, Mathematics

Assignment Help:

Definition

1.   We say that f(x) consist an absolute (or global) maximum at x = c if f ( x ) ≤ f (c ) for every x in the domain we are working on.

2.  We say that at x = c , f(x) consist a relative (or local) maximum if f ( x ) ≤ f (c ) for every x in  some open interval approximately x = c .

3.   We say that f(x) consist an absolute (or global) minimum at x = c if f (x) ≥ f (c) for every x in the domain we are working on.

4.  We say that f(x) consists a relative (or local) minimum at x = c if f ( x ) ≥ f (c ) for every x in some open interval approximately x = c .

 


Related Discussions:- Definition of minimum and maximum values

How to calculate mode, Q. How to calculate Mode? The mode of a data set...

Q. How to calculate Mode? The mode of a data set is the value that is repeated most often in the data set. It has the highest frequency. There can be one, more than one, or n

Multiple integrals, how to convert double integral into polar coordinates a...

how to convert double integral into polar coordinates and change the limits of integration

Three dimensional spaces - calculus, Three Dimensional Spaces In this ...

Three Dimensional Spaces In this section we will start taking a much more detailed look at 3-D space or R 3 ).  This is a major topic for mathematics as a good portion of Calc

Determine the length of the rectangle, The height of a rectangle is 20 cm. ...

The height of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Determine the length of the rectangle. a. 20 b. 23 c. 22 d. 21 d. To determine the len

Complex number, If z=re i ? ,find the value of |e iz | Solution)   z=r(c...

If z=re i ? ,find the value of |e iz | Solution)   z=r(cos1+isin1) |e iz |=|e ir(cos1+isin1) |=|e -rsin1 |=e -rsin1

Linear equations, Linear Equations - Resolving and identifying linear fir...

Linear Equations - Resolving and identifying linear first order differential equations. Separable Equations - Resolving and identifying separable first order differential

Simple interest, find the simple interest on Rs. 68,000 at 50/3 per annum f...

find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month

Estimates the probabilities of price changes, Mr. Hoper is in charge of inv...

Mr. Hoper is in charge of investments for the golden horizon company. He estimates from past price fluctuations in the gold market that the probabilities of price changes on a give

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd