Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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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Determine the intervals on which the function is concave up or down and find the points of inflection.
y = 19x2 + In(x)
(x > 0)
Provide intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of
parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Ø if the interval is empty.
Provide points of inflection as a comma-separated list of (x, y) ordered pairs. If the function does not have any inflection points,
enter DNE.
Use exact values for all responses.
concave up:
concave down:
(х, у) %3D
Transcribed Image Text:Determine the intervals on which the function is concave up or down and find the points of inflection. y = 19x2 + In(x) (x > 0) Provide intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Ø if the interval is empty. Provide points of inflection as a comma-separated list of (x, y) ordered pairs. If the function does not have any inflection points, enter DNE. Use exact values for all responses. concave up: concave down: (х, у) %3D
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