Given $f(x,y)=\frac{x}{1-2xy^{2}}$, how can I give a general formula for $D_{n,m}=\frac{\partial f^{n+m}}{\partial x^{n}\partial y^{m}}(0,0),\:\:\:n,m\geq0$ using Taylor?
Where should I begin?
Given $f(x,y)=\frac{x}{1-2xy^{2}}$, how can I give a general formula for $D_{n,m}=\frac{\partial f^{n+m}}{\partial x^{n}\partial y^{m}}(0,0),\:\:\:n,m\geq0$ using Taylor?
Where should I begin?
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