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f(x) = x³ + 3x² − 105x + 4. Find = Find x) On what set is f increasing? erval of increase: On what set is f decreasing? erval of decrease: On what set is f concave downward? erval of downward concavity: On what set is f concave upward? erval of upward concavity:

f(x) = x³ + 3x² − 105x + 4. Find = Find x) On what set is f increasing? erval of increase: On what set is f decreasing? erval of decrease: On what set is f concave downward? erval of downward concavity: On what set is f concave upward? erval of upward concavity:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x) = x³ + 3x² - 105x + 4. (a) Find f'(x) = = (b) Find f"(x) = (c) On what set is f increasing? interval of increase: (d) On what set is f decreasing? interval of decrease: (e) On what set is f concave downward? interval of downward concavity: (f) On what set is f concave upward? interval of upward concavity:
Transcribed Image Text:Let f(x) = x³ + 3x² - 105x + 4. (a) Find f'(x) = = (b) Find f"(x) = (c) On what set is f increasing? interval of increase: (d) On what set is f decreasing? interval of decrease: (e) On what set is f concave downward? interval of downward concavity: (f) On what set is f concave upward? interval of upward concavity:
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