Use the given derivative to find all critical points of /, and at each critical point determine whether a relative maximum, relative minimum, or neither occurs. Assume thatf is continuous everywhere. 5-6x f'(x) = Vx +7 Enter the exact answers in increasing order. v X = = X A

Use the given derivative to find all critical points of /, and at each critical point determine whether a relative maximum, relative minimum, or neither occurs. Assume thatf is continuous everywhere. 5-6x f'(x) = Vx +7 Enter the exact answers in increasing order. v X = = X A

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

Show the complete solution. Identify the relative maximum and relative minumum. Box your final answer.

Use the given derivative to find all critical points of /, and at each critical point determine whether a relative maximum, relative
minimum, or neither occurs. Assume thatf is continuous everywhere.
5- 6x
f'(x) =
Vx +7
Enter the exact answers in increasing order.
v x =

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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