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[ 7 . 1 4 / 4 4 . 2 8 Pointa ] LARCAOCALCI 2 . 2 0 1 6 . ( a ) What

[7.14/44.28 Pointa]
LARCAOCALCI 2.2016.
(a) What arke yhidde a manimus prate?
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Noed Help? Question 1
10 pts
Let y=-x6(9x35x29x-2)7.
Identify which differentiation rule (PRODUCT, QUOTIENT, CHAIN, or SUM rule) you should apply first to compute y'.
If PRODUCT rule: determine the FACTORS
If QUOTIENT rule: determine the NUMERATOR and DENOMINATOR (aka "high" and "low")
If CHAIN rule: determine the INSIDE and OUTSIDE
If SUM rule: determine the TERMS
Then compute the derivative y'.
(Generated for student on 2024-09-23T22:31:12.979Z)
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Question 1
100 pts
Use the chart below to choose the CORRECT statement about f(x),
\table[[|entervis,(-,-2),(-2.0),(0)27,[20)],[Teul ?a,x=-3,x=-1,7=1,180)],[Sign of f(tesx) Site Fom Pritulin!,positive,petifive,Eepative,negative],[Siph of / Ytest x) How Smonl Detintion,positive,nepreive,Secative,ponitive]]
**Also note that there are vertical asymptotes it x=-2,f(0)=0,f(0)=0(that is, the first derivative evaluated at rero is zero), and f'(0)0(that is, the second derivative of f(x) evaluated at rero is serpative).
A.f(x) has a relative maximum at x=0 and a point of inflection at x=0.
B.f(x) has points of inflection at x?=-2 and 2 and a relativetnaximum at x=0.
C.f(x) has points of inflection at x=-2 and 2 and a relative minimum at x=0.
D.f(x) is concave upward on (-,-2)(2,); concave downward on (-2,2); increasing on (-,0); decreasing on (0,); has a relative maximum at x=0; and has points of inflection at x=-2 and 2
E.f(x) is concave upward on (-,-2)(2,); concave downward on (-2,2); increasing on (-,-2)(-2,0); decreasing on (0,2)(2,); has a relative maximum at x=0, and has NO points of inflection
[ 7 . 1 4 / 4 4 . 2 8 Pointa ] LARCAOCALCI 2 . 2

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