##
Implicit Differentiation - Exercise 1

**Exercise 1.** Find *y*' if
*xy*^{3} + *x*^{2}*y*^{2} + 3*x*^{2} - 6 = 1.

**Answer.** Let us use implicit differentiation. Then we take
the derivative of the equation treating *y* as a function of
*x*. We get

Algebraic manipulations give

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