6. Consider the function f(2) = |2| = x +y , z = x+iy. The function...

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6. Consider the function f(2) = |2|² = x² +y² , z = x+iy. The function f can also be thought of as a function from R2 to R mapping (x, y) to x2 +y². Moreover, since the partial derivatives of f are continuous throughout R?, it follows that f is differentiable everywhere on R2. Show that f(z) is not complex differentiable at any non-zero point z0. 6. Consider the function f(2) = |2|² = x² +y² , z = x+iy. The function f can also be thought of as a function from R2 to R mapping (x, y) to x2 +y². Moreover, since the partial derivatives of f are continuous throughout R?, it follows that f is differentiable everywhere on R2. Show that f(z) is not complex differentiable at any non-zero point z0.

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