Emery l hompson ex YARC) Ka lasnan- x \\ G litter meenina·Go x crantaqes & Disa

Question

Emery l hompson ex YARC) Ka lasnan- x G litter meenina·Go x crantaqes & Disa x / A Chap 3 Denvatives x G Need Help! | Cheqo x 0 ipps 0 CHASE Bank CrYou lube Welcome to Fac G Google g University ot Anz Saplir q Leamna Access My U most tor H My Account 1VF Intormaton D BLS Inernational PIN Application other book UsA the values in the table hela ta answer each of the tollowing Find/2,-13 Desp(x) have a heizartal tangent at x-2? b) Let x)-fglx)) Find the lope of tx) at x-2 Find the scuation of the t noent ine to(x)at x-2. Use y for the dependent variable. e) Let v) Find the valuc cfv Y2) o Concave up Ask me anything :51 PM 10102016 2

Explanation / Answer

a)
p(x) = f(x) g(x)
p'(x) = f(x)*g'(x) + g(x)*f'(x)
p'(2) = f(2)*g'(2) + g(2)*f'(2)
= 1*3 + 0*(-2)
=3

since p'(2) is not equal to 0, it is not a horizontal tangent
Answer: NO

b)
y=f(g(x))
y' = f'(g(x)) * g'(x)
y'(2) = f'(g(2))*g'(2)
= f'(0)*3
=(-1)*3
= -3

at x=2
y = f(g(2)) = f(0) = -2
equation is:
(y+2)/(x-2) = -3
y+2 = -3x+6
y = -3x + 4

c)question is not visible because to low picture quality

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