Finding absolute extrema of f(x) on [a,b], Mathematics

Assignment Help:

Finding Absolute Extrema of f(x) on [a,b]

0.   Confirm that the function is continuous on the interval [a,b].

1.  Determine all critical points of f(x) which are in the interval [a,b]. it makes sense if you think about it.  As we are only interested in what the function is doing within this interval we don't care about critical points which fall outside the interval.

2.   At the critical points evaluate the function found in step 1 and the end points.

3.   recognizes the absolute extrema.

There actually isn't a whole lot to this procedure.  We called the first step in the procedure step 0, mostly since all of the functions which we're going to look at here are going to be continuous, although it is something that we do have to be careful with. This procedure will only work if we contain a function which is continuous on the given interval. The most labor intensive step of this procedure is the second step (step 1) where we determine the critical points.  This is also important to note that all we desire are the critical points which are in the interval.

 


Related Discussions:- Finding absolute extrema of f(x) on [a,b]

Pde, i find paper that has sam my homework which i need it, in you website...

i find paper that has sam my homework which i need it, in you website , is that mean you have already the solution of that ?

Math, A small square is located inside a bigger square. The length of the s...

A small square is located inside a bigger square. The length of the small square is 3 in. The length of the large square is 7m. What is the area of the big square if you take out t

Sciencetific notations, how would you answer a question like this on here ...

how would you answer a question like this on here (8x10^5)

Calculus, I need an explanation of "the integral, from b to a, of the deriv...

I need an explanation of "the integral, from b to a, of the derivative of f (x). and, the integral from a to b. of the derivative of f(t) dt.

Forecast errors, Forecast Errors Differences among actual results and ...

Forecast Errors Differences among actual results and predictions may arise from many reasons. They may arise from random influences, usual sampling errors, option of the wrong

Quadratic equation whose roots are real, Write the quadratic equation whose...

Write the quadratic equation whose roots are real and non conjugate Ans)  x^2-x+6=0 ...roots are real and non conjugate

Identify the surface for the equation , Identify the surface for each of th...

Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a)  In two dimensions we are familiar with that this

Probability, An unbiased die is tossed twice .Find the probability of getti...

An unbiased die is tossed twice .Find the probability of getting a 4,5,6 on the first toss and a 1,2,3,4 on the second toss

Ordinary differential equations, Give me the power series solution of Halm'...

Give me the power series solution of Halm''s differential equation

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