Math heeeeeeeeeelp??

Question

(Differentiation)

Find the stationary point(s) on the following curve and determine its nature:

f(x)=x(x-3)^2

Answer 1

are you asking to be told the answer, or just told how to go about it.

i shall help you however i shall not do it for you.

okay so basically...

- find dy/dx ( or  f ' (x) - depends how you write it )

- put dy/dx equal to 0 and then solve to find the x co-ordinates of any turning points

- sub in x co-ordinates to find the y co-ordinates

to determine nature-

-find d2y/dx2  (or f '' (x))

- sub in the x co-ordinates

-if its >0 then its a min point

- if its <0 then its min point