Let f(x) = x³ + 6x² − 15x + 10. (a) Find f'(x) = (b) Find f"(x) = (c) On what interval is f increasing? Increasing interval: (d) On what interval is f decreasing? Decreasing interval: (e) On what interval is f concave downward? Concave down: (f) On what interval is f concave upward? Concave up: (g) State the point of inflection (give as an ordered pair)

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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10.)
Let f(x) = x³ + 6x² − 15x + 10.
(a) Find
f'(x) =
(b) Find
f"(x) =
(c) On what interval is f increasing?
Increasing interval:
(d) On what interval is f decreasing?
Decreasing interval:
(e) On what interval is f concave downward?
Concave down:
(f) On what interval is f concave upward?
Concave up:
(g) State the point of inflection (give as an ordered pair)
Transcribed Image Text:Let f(x) = x³ + 6x² − 15x + 10. (a) Find f'(x) = (b) Find f"(x) = (c) On what interval is f increasing? Increasing interval: (d) On what interval is f decreasing? Decreasing interval: (e) On what interval is f concave downward? Concave down: (f) On what interval is f concave upward? Concave up: (g) State the point of inflection (give as an ordered pair)
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