Find all of the relative extrema of the function f(x)= 3x^4 - 36x^3 + 5. Use second derivative where applicable. Nit sure if I'm doing this correctly.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 3E
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Find all of the relative extrema of the function f(x)= 3x^4 - 36x^3 + 5. Use second derivative where applicable. Nit sure if I'm doing this correctly. 

X-3
(= 8x -
3.
Find all relative extrema of the function f 3x-36x°+5.
Use Znd denv, test where applicable
f(x) = 3x4_36x3+5
f'Cx)=Dd(3x4)(-36x3) +d (5
%3D
%3D
12x3 d
108x²
= 12x°d (l08x3)
=12y3-108x2
cont f'C)=2x³-108x²
12x3-108x3 - 12x?(x-9)=
X-9=6
+9+9
x=9
f"(x) -
f") " I2x³-1 08x²
3.
-I08X
Transcribed Image Text:X-3 (= 8x - 3. Find all relative extrema of the function f 3x-36x°+5. Use Znd denv, test where applicable f(x) = 3x4_36x3+5 f'Cx)=Dd(3x4)(-36x3) +d (5 %3D %3D 12x3 d 108x² = 12x°d (l08x3) =12y3-108x2 cont f'C)=2x³-108x² 12x3-108x3 - 12x?(x-9)= X-9=6 +9+9 x=9 f"(x) - f") " I2x³-1 08x² 3. -I08X
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