1.

Find the derivative from the left and from the right at x=1 (if they exist) of the following functions. Are the functions differentiable at x=1? (i) f(x) = |x-1| (ii) f(x) = sqrt(1-x^2) (iii) f(x) = {{:(x, x le 1),(x^2, x gt 1):}

Answer»


ANSWER :(i) `therefore F` is not DIFFERENTIABLE at `x=1`.
(II) `therefore f` is not differentiable at `x=1`.
(iii)`therefore f` is not differentiable at `x=1`.


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