SOLUTION: Given that y=x-√1+x^2 Show that (1+x^2)(dy/dx)^2-y^2=0

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Question 1183465: Given that y=x-√1+x^2
Show that (1+x^2)(dy/dx)^2-y^2=0
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
To show: %281%2Bx%5E2%29%28dy%2Fdx%29%5E2-y%5E2=0, or %281%2Bx%5E2%29%28dy%2Fdx%29%5E2=y%5E2
y+=+x-sqrt%281%2Bx%5E2%29 ==> dy%2Fdx+=+1+-+x%2Fsqrt%281%2Bx%5E2%29

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