f(x)=x^3+4.5x^2−12x+3 a) Determine the intervals on which f is concave up and concave down.f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x,y)).= c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at=Relative minima at= d) Find the x-value(s) where f′(x) has a relative maximum or minimum.f′ has relative maxima at: f′ has relative minima at:
f(x)=x^3+4.5x^2−12x+3 a) Determine the intervals on which f is concave up and concave down.f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x,y)).= c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at=Relative minima at= d) Find the x-value(s) where f′(x) has a relative maximum or minimum.f′ has relative maxima at: f′ has relative minima at:
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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f(x)=x^3+4.5x^2−12x+3
a) Determine the intervals on which f is concave up and concave down.
f is concave up on:
f is concave down on:
b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x,y)).
=
c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates.
Relative
Relative
d) Find the x-value(s) where f′(x) has a
f′ has relative maxima at:
f′ has relative minima at:
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