For the function y=x^3-6x^2+9x+1 , find the stationary points and classify their nature. "help"
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did you mean maxima and minima?
i gots no idea what a stationary point it, but I would assume that their nature is to be stationary ..
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Stationary points are points where derivative is zero or slope is zero
equate it to 0
x= 1 and x=3 are the two stationary points
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
d^2y/dx^2=-6 so it's a point of maxima
d^2y/dx^2=6 so it's a point of minima
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