find the point on the curve Y is equal to X ki power to where the rate of change of X co-ordinate is equal to the rate of change of Y co-ordinate
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x power same co ordinate
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We have to find the point where rate of change of y and x are same
⇒d/y d/t = d/x d/t
⇒dy=dx
⇒dy/dx=1
∵y=x square
⇒dy/dx=2x=1
⇒x=1/2
y=x square =1/4
∴Point where rate of change of y and x are same is (1/2,1/4)
hope this helps you
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