a) Find the first and second derivatives. f'(x) = f"(x) = f(x) = x³ -4.5x² – 12x - 3 b) Identify the graph that displays f in blue and f" in red. ? B. c) Using the graphs of ƒ and ƒ", indicate where f is concave up and concave down. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWork remember that:

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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Please answer the ques its a single ques

a) Find the first and second derivatives.
ƒ'(x) =
=
f"(x) =
b) Identify the graph that displays f in blue and f" in red.
?
?
C.
-64
64
64
-64
B.
---5
64
-64
ƒ(x) = x³ – 4.5x² – 12x – 3
-64
c) Using the graphs of f and f", indicate where f is concave up and concave down. Give your answer in the form of an interval.
NOTE: When using interval notation in WeBWork remember that.
Transcribed Image Text:a) Find the first and second derivatives. ƒ'(x) = = f"(x) = b) Identify the graph that displays f in blue and f" in red. ? ? C. -64 64 64 -64 B. ---5 64 -64 ƒ(x) = x³ – 4.5x² – 12x – 3 -64 c) Using the graphs of f and f", indicate where f is concave up and concave down. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWork remember that.
D.
INN
C.
F5
-64
c) Using the graphs of f and f", indicate where f is concave up and concave down. Give your answer in the form of an interval.
NOTE: When using interval notation in WeBWork, remember that:
You use 'INF' for ∞ and '-INF' for -∞.
And use 'U' for the union symbol.
Enter DNE if an answer does not exist.
f is concave up on
-64
f is concave down on
Transcribed Image Text:D. INN C. F5 -64 c) Using the graphs of f and f", indicate where f is concave up and concave down. Give your answer in the form of an interval. NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ∞ and '-INF' for -∞. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f is concave up on -64 f is concave down on
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