6. Identify local extrema for the following use the First OR the Second Derivative f(x) = sin (x), 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...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
#6
rto so r. IS CP
(hro-hr)r? hr
3. Let p(x) = 2x3 +3x2-12x + 1. Find the absolute extrema on the interval [-1,4]. Express
you answer as an ordered pair.
hror
Min-(tite Max-(4,129
4. Identify the intenals where the following function is increasing or decreasing:
f(x) =
%3D
E2,2]
Slope
5. Identify the intervals where the following function is concave up or concave down:
f(x) = 2+ cos(x), [0, 2a]
0=XX-2¥
f")=-Coslo)--1C
[o, 2r디-U1
fw--Sinx f4x)=-COSX
Concoveup
* X-0 f'z 6ostx - Sinm) x
2(CosX sina TCOSA Sin
6. Identify local extrema for the following function. give your answer as an ordered pair (you may
use the Eirst OR the Second Derivative Test): 200S(X)Sinu)
f(x) = sin (x), 9<x<A
%3D
六の
7. For the following functionf(x)%3D 2x*-8x2
a. State the domain.
f'(x) = 2Cos (T) Sinic)
%3D
b. Find x and y intercepts, and determine end behavior of graph.
C. Find critical points and intervals of increasing and/or decreasing, express local extrema
as ordered pairs.
d. Find intervals of concavity and express any inflection points as ordered pairs.
e. Sketch the graph.
Transcribed Image Text:rto so r. IS CP (hro-hr)r? hr 3. Let p(x) = 2x3 +3x2-12x + 1. Find the absolute extrema on the interval [-1,4]. Express you answer as an ordered pair. hror Min-(tite Max-(4,129 4. Identify the intenals where the following function is increasing or decreasing: f(x) = %3D E2,2] Slope 5. Identify the intervals where the following function is concave up or concave down: f(x) = 2+ cos(x), [0, 2a] 0=XX-2¥ f")=-Coslo)--1C [o, 2r디-U1 fw--Sinx f4x)=-COSX Concoveup * X-0 f'z 6ostx - Sinm) x 2(CosX sina TCOSA Sin 6. Identify local extrema for the following function. give your answer as an ordered pair (you may use the Eirst OR the Second Derivative Test): 200S(X)Sinu) f(x) = sin (x), 9<x<A %3D 六の 7. For the following functionf(x)%3D 2x*-8x2 a. State the domain. f'(x) = 2Cos (T) Sinic) %3D b. Find x and y intercepts, and determine end behavior of graph. C. Find critical points and intervals of increasing and/or decreasing, express local extrema as ordered pairs. d. Find intervals of concavity and express any inflection points as ordered pairs. e. Sketch the graph.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning