(i) Give geometrical interpretation of “The mean value theorem (also known as Lagranges mean value theorem)". Justify that square of a Lipschitz function may not be a Lipschitz function. (ii)

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(i) Give geometrical interpretation of “The mean value theorem (also known as Lagranges mean value theorem)&quot;. Justify that square of a Lipschitz function may not be a Lipschitz function. (ii)

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(i) Give geometrical interpretation of “The mean value theorem (also known as Lagranges mean value theorem)". Justify that square of a Lipschitz function may not be a Lipschitz function. (ii)