Question

For the function y=x^3-6x^2+9x+1 , find the stationary points and classify their nature. "help"

Answer 1

stationary points?

Answer 2

did you mean maxima and minima?

Answer 3

i gots no idea what a stationary point it, but I would assume that their nature is to be stationary ..

Answer 4

Stationary points are points where derivative is zero or slope is zero
find dy/dx
dy/dx=3x^2-12x+9
equate it to 0
3x^2-12x+9=0
x^2-4x+3=0
(x-1)(x-3)=0
x= 1 and x=3 are the two stationary points

Answer 5

to classify them , let's find d^2y/dx^2
it comes out to be 6x-12
if d^2y/dx^2>0 it is a minima, if it's less than 0 then it is a point of maxima
x=1
d^2y/dx^2=-6 so it's a point of maxima
x=3
d^2y/dx^2=6 so it's a point of minima

Answer 6

Jacob, to respond to people, enter your response here in the reply field.

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Answer 7

Sorry !

Answer 8

No problem :).