Moleporocky247 Moleporocky247

02-06-2016
Mathematics

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 :

02-06-2016

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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