It turns out that f"(x) = 4(x-6) | Use calculus to determine the intervals on 9(3– a)5/3 which f is concave up and concave down. Justify with a table of the relevant intervals and the signs of the factors of f".

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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It turns out that f"(x) =
4(х - 6)
Use calculus to determine the intervals on
9(3 – x)5/3°
which f is concave up and concave down. Justify with a table of the relevant intervals
and the signs of the factors of f".
Based on the previous part, at which x coordinates does f have an inflection
point?
Transcribed Image Text:It turns out that f"(x) = 4(х - 6) Use calculus to determine the intervals on 9(3 – x)5/3° which f is concave up and concave down. Justify with a table of the relevant intervals and the signs of the factors of f". Based on the previous part, at which x coordinates does f have an inflection point?
Expert Solution
Step 1

To find the value of x, solve the equation f''x=0 for x. Also determine the point x where f''(x) is undefined.

f''x=04x-693-x53=04x-6=04x-64=04x-6=0x-6+6=0+6x=6

It is obvious that the second derivative f''(x) cannot be defined at x=3.

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