DERIVATIVES - Pennsylvania State University
(0, ∞), however, the curve is a line of slope 1. Therefore, letting x = 0 and use the limit definition of derivative,, and . Since the one-sided limits are not equal, the limit does not exist, so. f (x) = │x│ is not differentiable at 0. Theorem: If f is differentiable at a, then f is … ................
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