fx 13x3 52x2 4x 6 aFind both x and y coordinates for the poi

f(x)= 1/3(x)^3 +5/2(x)^2 +4x -6

a)Find both x and y coordinates for the point or points of inflection.
b)Determine the intervals where f is increasing and the intervals where f is decreasing

Solution

derivative of f is x^2+5x+4=0
(x+4)(x+1)=0

x=-1 and x=-4

y=-1/3+5/2-4-6=-47/6

y=-64/3+40-16-6
=-10/3

f(x)= 1/3(x)^3 +5/2(x)^2 +4x -6 a)Find both x and y coordinates for the point or points of inflection. b)Determine the intervals where f is increasing and the i

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