Use the definition of derivatives to find dy/dx for the following:
(1) y = x^2 -3x + 4
(2) y = 1/(x-1)
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(3) y = sqrt(x+1)
(4) y = 1/x^2
(5) Use the product rule and power rule to find dy/dx if y = (x^2+x+1) (x^2-1)