Find the derivatives from the left and from the right at x=1 (if they – InterviewSolution

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1.	Find the derivatives from the left and from the right at x=1 (if they exist) of the following functions. Are the functions differentiable at x=1? f(x)=sqrt(1-x^(2))
Answer» Answer : ` = lim_(x to 1^(+)) - sqrt((1 + x)/(1- x) ) = 0 ` From (1) and (2), f' ` (1^(-)) " and " f'(1^(+)) ` are not EQUAL . `therefore f '(x) ` is not DIFFERENTIABLE at x = 1 .

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