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Calculus: Early Transcendentals

(a) Find $ y' $ by implicit differentiation.

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

$ 9 x^2 - y^2 = 1 $