Show that neither of the functions defined in (a) and (b) satisfies a Lipschitz condition throughout any domain which includes the line y=0.(a) f(x, y)=y^2 / 3(b) f(x, y)=√(|y| .)

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SOLVED:Suppose f: ℝ →ℝ is a differentiable Lipschitz continuous function. Prove that f^' is a bounded function.

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