Question

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

Answer 1

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)