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Use the definition of derivatives to find dy/dx for the following:  

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)

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