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. 3 + 3x3 — бх? — 36х 4 f(x) = -

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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C2 yields a
Local maximum
Local minimum
C3
C3 yields a
Local minimum
O Local maximum
Transcribed Image Text:C2 yields a Local maximum Local minimum C3 C3 yields a Local minimum O Local maximum
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.
3
f(x)
+ 3x3 — бх? — 36х
x*
4
(Use decimal notation. Give your answers to two decimal places.)
Write the critical points in an increasing order.
C1 =
ст yields a
Local maximum
O Local minimum
C2 =
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. 3 f(x) + 3x3 — бх? — 36х x* 4 (Use decimal notation. Give your answers to two decimal places.) Write the critical points in an increasing order. C1 = ст yields a Local maximum O Local minimum C2 =
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