Find the derivative using the quotient rule, and set that equal to zero.
It comes apart very nicely to
x = ±1
subbing x=1 and x=-1 into the expression can be done mentally to see what the minimum is.
Did you get 1/4, when x = 1 ?
For all real x, the minimum value of 1-x+x2/1+x+x2 is
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