Let $X$ be the vector field $x \dfrac{∂}{∂x} + y \dfrac{∂}{∂y}$ and $f (x, y, z)$ the function $x^2 + y^2 + z^2$ on $R^3$. Compute $Xf$.
Could you give me some hints how we can calculate it?
Let $X$ be the vector field $x \dfrac{∂}{∂x} + y \dfrac{∂}{∂y}$ and $f (x, y, z)$ the function $x^2 + y^2 + z^2$ on $R^3$. Compute $Xf$.
Could you give me some hints how we can calculate it?
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