Implicit differentiation

Question

Question

⒈ Consider the equation x²y²=c, where c is a real constant.

(a) Assuming that this implicitly defines a differentiable function y=f(x), use implicit differentiation to find an expression for dy/dx.

(b) For what combination of x and c is your answer to Part (a) valid?

(c) Assuming c>0, find all of the possible functions f and verify that the derivative f' satisfies the expression found in Part (a).

Answer 1

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