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What is the Theorem for Differentiability in Advanced Calculus?
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[QUOTE="Svein, post: 4996066, member: 538805"] A little hint: In ℝ[SUP]2[/SUP] , you may calculate the partial derivatives [itex]\frac{\partial u}{\partial x}, \frac{\partial u}{\partial y}, \frac{\partial v}{\partial x}, \frac{\partial v}{\partial y} [/itex] and you do not expect any obvious relation between them. On the other hand, in ℂ, you expect the derivative of f(z) to be just a function of z and nothing else. So, if you put z = x + iy and f(z) = u(z) + iv(z), this implies a relation between u and v... [/QUOTE]
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What is the Theorem for Differentiability in Advanced Calculus?
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