If `x^2+2x y+y^3=42` , find `(dy)/(dx)`

Explanation

To find \(\frac{dy}{dx}\) for the equation \(x^2 + 2xy + y^3 = 42\), we will differentiate both sides with respect to \(x\).

### Step-by-Step Solution:

1. **Differentiate both sides:**
\[ \frac{d}{dx}(x^2 + 2xy + y^3) = \frac{d}{dx}(42) \]
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