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Consider the following. xy + 3x + 3X2 = 3 (a) Find y' by implicit differentiation. (b) Solve the equation explicitly for y and differentiate

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Consider the following. xy + 3x + 3X2 = 3 (a) Find y' by implicit differentiation. (b) Solve the equation explicitly for y and differentiate to get y' in terms of X. x '2 y+6x+3 x (c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for y into your solution for part (a)

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