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Consider the equation ( x ) + ( y ) = 1. (a)Find y' by implicit differentiation. 1 + x 1 /2 2 (b) Solve

Consider the equation (x) + (y) = 1.

(a)Find y' by implicit differentiation. 1+x1/22

(b) Solve the equation explicitly for and differentiate to get ' in terms of .

(c) Check that your solutions in parts (a) and (b) are consistent by substituting the expression for into your solution for part (a).

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