differentiation

Question: If ${x^3} + {y^3} - 3axy = 0$, then $\frac{{dy}}{{dx}}$ equals

1) $\frac{{ay - {x^2}}}{{{y^2} - ax}}$

2) $\frac{{ay - {x^2}}}{{ay - {y^2}}}$

3) $\frac{{{x^2} + ay}}{{{y^2} + ax}}$

4) $\frac{{{x^2} + ay}}{{ax - {y^2}}}$

Solution:

Explanation: Explanation

Implicit-function

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