# Calculus

find the co-ordinates
y=x(2-x) where the gradient is 2

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1. y = 2x-x^2
y' = 2-2x

so, where is 2-2x = 2?

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posted by Steve
2. WHat?

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posted by Kristin
3. the gradient is the slope of the tangent to the curve. y' (x) gives the slope of the tangent for any value of x.

So, at x=0, y'(x) = 2-0 = 2, so the gradient is 2 at the point (0,2)

See the graphs at

http://www.wolframalpha.com/input/?i=plot+y%3D2x-x^2%2Cy%3D2x

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posted by Steve

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