(a) Find y' by implicit differentiation. (b) Solve the equation explicitly for y and differentiate to get...

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(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 parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a).

9x2 - y2 = 1

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