Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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A function and its graph are given.
fx) = + 4x - 20x - 20
250
200
150
100
50
-10
-5
(a) From the graph, estimate where f"(x) > 0. (Enter your ansver using interval notation.)
Estimate where f"(x) < 0. (Enter your answer using interval notation.)
Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.)
(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 eist, enter DNE.)
relative maxima
relative minima x=
(e) 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 vwhere f"(x) = 0. (Enter your answers as a comma-separated list.)
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
relative minima
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Transcribed Image Text:A function and its graph are given. fx) = + 4x - 20x - 20 250 200 150 100 50 -10 -5 (a) From the graph, estimate where f"(x) > 0. (Enter your ansver using interval notation.) Estimate where f"(x) < 0. (Enter your answer using interval notation.) Estimate where f"(x) = 0. (Enter your answers as a comma-separated list.) (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 eist, enter DNE.) relative maxima relative minima x= (e) 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 vwhere f"(x) = 0. (Enter your answers as a comma-separated list.) 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 relative minima
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