Suppose the function f has second derivative f"(x) = x²(x – 6)ª(x + 2)3(x2 – 1). (a) How many inflection points does f have? Where do they occur? (Enter your answers as a comma-separated list.) х 3 (b) Suppose f has horizontal tangent lines at x = -3, , 0, 2, -2. Which correspond to a local maximum? A local minimum? Which cannot be determined by the second derivative test? (Enter your answers as a comma-separated list.) local maximum local minimum cannot be determined х 3 Additional Materials Tutorial

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Suppose the function f has second derivative f"(x) = x²(x – 6)ª(x + 2)3(x2 – 1).
(a) How many inflection points does f have?
Where do they occur? (Enter your answers as a comma-separated list.)
х 3
(b) Suppose f has horizontal tangent lines at x = -3, , 0, 2, -2. Which correspond to a local maximum? A local minimum? Which cannot be determined by the
second derivative test? (Enter your answers as a comma-separated list.)
local maximum
local minimum
cannot be determined
х 3
Additional Materials
Tutorial
Transcribed Image Text:Suppose the function f has second derivative f"(x) = x²(x – 6)ª(x + 2)3(x2 – 1). (a) How many inflection points does f have? Where do they occur? (Enter your answers as a comma-separated list.) х 3 (b) Suppose f has horizontal tangent lines at x = -3, , 0, 2, -2. Which correspond to a local maximum? A local minimum? Which cannot be determined by the second derivative test? (Enter your answers as a comma-separated list.) local maximum local minimum cannot be determined х 3 Additional Materials Tutorial
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