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Determine whether the following function is differentiable at the indicated values. (i) f(x) = x |x| at x=0 (ii) f(x) = }x^2 -1| at x=1 (iii) f(x) = |x| + |x-1| at x=0,1 (iv) f(x) = sin |x| at x=0 |
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Answer» (ii) `f(x)` is not differentiable at `x=1`. (III) `THEREFORE f(x)` is not differentiable at `x=0` (IV) `therefore f(x)` is not differentiable at `x=0` |
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