Consider the following function. y = 6x In(x) Find y'(x). Y'(x) = 6 + 6 in (x) Find y"(x). y"(x) = 6 X = X X Find the critical numbers (if any exist). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 1 Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) 1 6 relative minimum (x, y) = relative maximum (x, y) = " DNE e

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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Consider the following function.
y = 6x In(x)
Find y'(x).
y'(x) = 6+6 in (x)
Find y"(x).
y"(x) =
X =
6
X
Find the critical numbers (if any exist). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
1
e
X
Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.)
1 6
-
"
D
e
e
DNE
relative minimum
relative maximum
(x, y) =
(x, y) =
Transcribed Image Text:Consider the following function. y = 6x In(x) Find y'(x). y'(x) = 6+6 in (x) Find y"(x). y"(x) = X = 6 X Find the critical numbers (if any exist). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 1 e X Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) 1 6 - " D e e DNE relative minimum relative maximum (x, y) = (x, y) =
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