Consider the following. 6 x −  1 y = 7 (a)  Find  y ′  by implicit differentiation. y ′ =        (b) Solve the equation explicitly for y and differentiate to get  y ′  in terms of x. y ′ =        (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y ′ =

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