1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the second derivative of the function. g"(x) = 36x +54 3. Evaluate g"(- 2). g"( – 2) = -18

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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1. Find the first derivative of the function g(r) = 6c+ 27r' + 36r.
g'(x) = 18x + 54x + 36
2. Find the second derivative of the function.
g"(x) = 36x + 54
3. Evaluate g"( 2).
g"(- 2)
-18
2?
4. Is the graph of g(r) concave up or concave down at I
At T=
2 the graph of g(r) is concave
5. Does the graph of g() have a local minimum or local maximum at r
- 2?
At =
2 there is a local
Transcribed Image Text:3 1. Find the first derivative of the function g(r) = 6c+ 27r' + 36r. g'(x) = 18x + 54x + 36 2. Find the second derivative of the function. g"(x) = 36x + 54 3. Evaluate g"( 2). g"(- 2) -18 2? 4. Is the graph of g(r) concave up or concave down at I At T= 2 the graph of g(r) is concave 5. Does the graph of g() have a local minimum or local maximum at r - 2? At = 2 there is a local
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