If $$x^x\cdot y^y\cdot z^z=c$$ then prove that $$\frac{\partial^2z}{\partial x \, \partial y}=(-x\log_ex)^{-1}$$ How to do this? I was first taking logarithm and then differentiating but did not work.
2026-03-30 02:03:35.1774836215
Partial Derivatives Calculus
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