6. Using derivatives and + charts, given f(x)=x*-4x find: a. Intervals where f is increasing and decreasing harasing: (3,00) Deunasıng:(- 3) b. Local Max and Local Min fll to test pos or 3 0 local mIR f(0)=12(0)(0-2)3D0 f'(3)= 86 (1)=36 concave dusn c. Intervals where f is concave up and concave down Concave up Concove up: Conrave dwn:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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6. Using derivatives and ± charts, given f(x)=xª-4x³ find:
a. Intervals where f is increasing and decreasing
hanasing: (3,00)
Decnasing: (-oe
3)
b. Local Max and Local Min
fll to test pos or
heg
f"(x) = Qu? 24%
f(x)= 12x(x-2)
<O local mak
>0 local msn
X = 0 and X = 3
in
concave
c. Intervals where f is concave up and concave down
Concaue up
Comene
Cucave
Up:
dun:
Transcribed Image Text:6. Using derivatives and ± charts, given f(x)=xª-4x³ find: a. Intervals where f is increasing and decreasing hanasing: (3,00) Decnasing: (-oe 3) b. Local Max and Local Min fll to test pos or heg f"(x) = Qu? 24% f(x)= 12x(x-2) <O local mak >0 local msn X = 0 and X = 3 in concave c. Intervals where f is concave up and concave down Concaue up Comene Cucave Up: dun:
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