Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. Let f(z) = 4a4 + z3 + 교2 - 320z –64 „2 – 320x There are three critical points. If we call them c1, C2, and c3, with c1 < c2 < C3, then C1 = C2 = and c3 = Is fa maximum or minumum at the critical points? At c1, f is ? At C2, ƒ is ? At C3, ƒ is ? These three critical give us four intervals. The left-most interval is , and on this interval f is ? v while f' is ? The next interval (going left to right) is On this interval f is ? v while f' is ? Next is the interval On this interval f is ? v while f' is ? Finally, the right-most interval is On this interval f is ? v while f' is ?

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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Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. Let
f(z) = 4a4 + z3 + 교2 - 320z
–64 „2 – 320x
There are three critical points. If we call them c1, C2, and c3, with c1 < c2 < C3, then
C1 =
C2 =
and c3 =
Is fa maximum or minumum at the critical points?
At c1, f is ?
At C2, ƒ is ?
At C3, ƒ is ?
These three critical give us four intervals.
The left-most interval is
, and on this interval f is ?
v while f' is ?
The next interval (going left to right) is
On this interval f is ?
v while f' is ?
Next is the interval
On this interval f is ?
v while f' is ?
Finally, the right-most interval is
On this interval f is ?
v while f' is ?
Transcribed Image Text:Find the critical points and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to each critical point. Let f(z) = 4a4 + z3 + 교2 - 320z –64 „2 – 320x There are three critical points. If we call them c1, C2, and c3, with c1 < c2 < C3, then C1 = C2 = and c3 = Is fa maximum or minumum at the critical points? At c1, f is ? At C2, ƒ is ? At C3, ƒ is ? These three critical give us four intervals. The left-most interval is , and on this interval f is ? v while f' is ? The next interval (going left to right) is On this interval f is ? v while f' is ? Next is the interval On this interval f is ? v while f' is ? Finally, the right-most interval is On this interval f is ? v while f' is ?
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