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# Product Rule quest watch

1. Find the coordinates of the stationary points on the curve y=x^2.e^-2x (basically, x squared.e to the power -2x)

Deternmine the nature of the points and sketch it.

Ok guys, i've narrowed it down to x=1 x=0 erm wat do i do noiw>???
2. (Original post by FoOtYdUdE)
Find the coordinates of the stationary points on the curve y=x^2.e^-2x (basically, x squared.e to the power -2x)

Deternmine the nature of the points and sketch it.

Ok guys, i've narrowed it down to x=1 x=0 erm wat do i do noiw>???
bump...http://static.thestudentroom.co.uk/n...ttons/post.gif
3. Do you know the second derivative test for determining the nature of stationary points?
4. yes x=0 and x=1 look right, so to start with, you'll need to sub them into the origional equation to get the corresponding 'y' values.
5. (Original post by Calira)
Do you know the second derivative test for determining the nature of stationary points?
d2y/dx2 ??? differentiate it again?
6. max < 0 min > 0 ??
7. max if d2y/dx2<0
min if d2y/dx2>0

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