Moleporocky247
Answered

The graph of f has the equation of f(x)=x^3-4x²-3x+18

1.Determine the stationary points of f

2.determine the point of inflection

Please answer any question you know

Verified Answer :

caylus

Hello,


y= x^3-4x²-3x+18=(x-3)²*(x+2)

y'=3x²-8x-3

y''=6x-8

1) Stationary points

Maximun: x=-1/3 ==>y=18,5185....
Minimum: x=3  ===>y=0 (double root)

2) x=4/3: point of inflection. (y''=0 and change sign)




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