Locate the (a) relative minimum (x,y)=_____and (b) the relative maximum (x,y)=_____ y6-6-33693f hasv V at (x, y) =3,- 3relative minimumf has an absolute maximum v at (x, y) =-3,61.)f has an absolute minimum vV at (x, y) =3, - 3f has a relative maximumV at (x, y) =-3,6

Answered: Image /qna-images/answer/78087725-5d4d-4d44-aed6-4ec4f880013d.jpg

y -9 -6 -3 6 3 6F f has a relative minimum Vv at (x, y) = 3,-3 f has an absolute maximum v at (x, y) = ( -3,6 f has an absolute minimum v at (x, y) = | (3, – 3 f has a relative maximum v at (x, y) = -3,6

y -9 -6 -3 6 3 6F f has a relative minimum Vv at (x, y) = 3,-3 f has an absolute maximum v at (x, y) = ( -3,6 f has an absolute minimum v at (x, y) = | (3, – 3 f has a relative maximum v at (x, y) = -3,6

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...

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Question

100%

Locate the (a) relative minimum (x,y)=_____ and (b) the relative maximum (x,y)=_____

y
6
-6
-3
3
6
9
3
f has
v V at (x, y) =
3,- 3
relative minimum
f has an absolute maximum v at (x, y) =
-3,6
1.)
f has an absolute minimum vV at (x, y) =
3, - 3
f has a relative maximum
V at (x, y) =
-3,6

Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .

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