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) = x² + 3x³− 6x² − 36x (Use decimal notation. Give your answers to two decimal places.) Write the critical points in an increasing order. C₁ = C₁ yields a C₂ = Local minimum Local maximum

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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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.
3
f(x)
2x4
-x² + 3x³ - 6x² – 36x
(Use decimal notation. Give your answers to two decimal places.)
Write the critical points in an increasing order.
C1 =
=
C₁ yields a
C₂ =
Local minimum
Local maximum
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) 2x4 -x² + 3x³ - 6x² – 36x (Use decimal notation. Give your answers to two decimal places.) Write the critical points in an increasing order. C1 = = C₁ yields a C₂ = Local minimum Local maximum
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