Challenge question: If $x^my^n=(x+y)^k$ where $m,n,k\in\mathbb{Z}^+$ show that $\dfrac{dy}{dx}=\dfrac{y((k-m)x-my)}{x(nx+(n-k)y)}$

 

Example of Differentiation - Implicit (LG Q10 Ex4-5)

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Poster - Differentiation Rules