Maths

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

(1) y = x^2 -3x + 4 

(2) y = 1/(x-1)

  (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)