SOLUTION: find x which minimizes {{{f(x)= x-sqrt ( 1-x^2 )}}}

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Question 763395: find x which minimizes f%28x%29=+x-sqrt+%28+1-x%5E2+%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find x which minimizes f%28x%29=+x-sqrt%281-x%5E2%29
f'(x) = 1+-+%281%2F2%29%2A%28-2x%29%2Fsqrt%281-x%5E2%29
= 1+%2B+x%2Fsqrt%281-x%5E2%29+=+0
sqrt%281-x%5E2%29+%2B+x+=+0
x+=+-sqrt%281-x%5E2%29
x%5E2+=+1-x%5E2
x+=+-+sqrt%282%29%2F2