fünction and its graph are given. f(x) = x3 + 3x² 3 16х — 20 %3D y 100 50 - 10 -5 -50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) >0 Your answer cannot be understood or graded. More Information Estimate where f"(x) < 0. (Enter your answer using interval notation.) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) X =
fünction and its graph are given. f(x) = x3 + 3x² 3 16х — 20 %3D y 100 50 - 10 -5 -50 (a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.) >0 Your answer cannot be understood or graded. More Information Estimate where f"(x) < 0. (Enter your answer using interval notation.) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) X =
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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Transcribed Image Text:(b) Use (a) to decide where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
relative maxima
X =
relative minima
X =
(c) Verify your results in parts (a) and (b) by finding f'(x) and f"(x) and then graphing each with a graphing utility. Find where f"(x) > 0. (Enter your answer using
interval notation.)
Find where f"(x) < 0. (Enter your answer using interval notation.)
Find where f"(x)
0. (Enter your answers as a comma-separated list.)
X =
Find where f'(x) has its relative maxima and relative minima. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
relative maxima
X =
relative minima
X =

Transcribed Image Text:A function and its graph are given.
f(x) = x3 + 3x2 – 16x – 20
3
y
100
50
X
- 10
-5
5
- 50
i
(a) From the graph, estimate where f"(x) > 0. (Enter your answer using interval notation.)
> 0
Your answer cannot be understood or graded. More Information
Estimate where f"(x) < 0. (Enter your answ
using interval
ion.)
Estimate where f"(x)
= 0. (Enter your answers as a comma-separated list.)
X =
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