So I'm not sure what the critical point is supposed to be. Let f (x)x1/3(8x + 11)2/3. Find f' (x) and the critical numbers for f.Ах + Bf'(x)where3xC (8х +11)D'A24%3DB = |11C =2/3D = 1/3The critical numbers of f are (list in increasing order):X = |0X = 10X = |DNE(Enter DNE in any unused answer blank.)

Given :- F(x) = x(1/3) (8x+11)(2/3) To find:- F'(x) Critical number of F(x)

Answered: Let f(x) = x/3(8x + 11)2/3. Find f' (x)…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

From the partial differential eqiuation by eliminating the arbitrary function z=(x2+y2+z2)
The functions f(x, y) = x 2 + y 2 and g(x, y) = x 2 - y 2 both have acritical point at (0, 0). How is the behavior of the two functions at the critical point different?
find the value of x which gives the critical point.
In the function: f(x)= (3x^2)ln(x) , x>0 What are the critical numbers of the function?
Find the critical point of ƒ(x, y) = xy + 2x - ln x2y in the open first quadrant (x >0, y>0) and show that ƒ takes on a minimum there.
A ruptured pipe produces a circular oil slick that is y meters thick at a distance x meters from the rupture. It is difficult to directly measure the thickness of the slick at the source (where x=0), but for x>0, it is found that y=0.5(x2+3x)/x3+x2+4x. assuming that the oil slick is continuously distributed, how thick would you expect it to be at the source?
A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x<150: fixed costs, $500; unit production cost, $25 per vest; equipment maintenance and repairs, 0.05x2 dollars. So, the cost of manufacturing x vests in one given day is given by C(x)=0.05x2+25x+500,where 0<x<150. a.) What is the average cost C(x) per vest if x vests are produced in one day? b.) Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema.
Give necessary and sufficient conditions for p(x)/q(x) to be an immediate integral (do not use the partial fraction integration method).
A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x<200: fixed costs, $245; unit production cost, $15 per vest; equipment maintenance and repairs, 0.05x2 dollars. So, the cost of manufacturing x vests in one given day is given by C(x)=0.05x2+15x+245, where 0<x<200. (A) What is the average cost C(x) per vest if x vests are produced in one day? (B) Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema. Do not graph
Let u = x3 + 1. Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. (Enter your answer using interval notation.) (0,2)
If f(x,y) = 8-2x3-6xy-3y2, locate the critical points of f and use 2nd derivatives test to find the saddle points/relative extrema of the function f. If x = (r-3)cos(s+1) and y = (r-1)/(r+s), using chain rule, find ∂f/∂r when (r,s) = (2,-1).
Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $

SEE MORE QUESTIONS

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Let f(x) = x/3(8x + 11)2/3. Find f' (x) and the critical numbers for f. Ax + B f'(x) = ,where 3xC (8x + 11)0' A = 24 B = 11 C = 2/3 D = 1/3 The critical numbers of f are (list in increasing order): x = 0 x = 0 X = DNE