Show that if is differentiable at then is differentiable at Use this result to prove
Chapter 13, Problem 47(choose chapter or problem)
Show that if f(x, y) is differentiable at \(\left(x_{0}, y_{0}\right)\), then \(f\left(x, y_{0}\right)\) is differentiable at \(x=x_{0}\). Use this result to prove that \(f(x, y)=\sqrt{x^{2}+y^{2}}\) is not differentiable at (0, 0).
Text Transcription:
(x_0,y_0)
f(x,y_0)
x=x_0
f(x,y)=sqrtx^2+y^2
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