Question: The following equations implicitly define one or more functions. a. Find dy/dx using implicit differentiation. b. Solve the given equation for y to identify the

The following equations implicitly define one or more functions.

a. Find dy/dx using implicit differentiation.

b. Solve the given equation for y to identify the implicitly defined functions y = f1(x), y = f2(x), . . . .

c. Use the functions found in part (b) to graph the given equation.

x + y3 - xy = 1 Rewrite as y3 - 1 = xy - x and then factor both sides.)

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