Concept explainers
One-sided derivatives The right-sided and left-sided derivatives of a function at a point a are given by
respectively, provided these limits exist. The derivative f′(a) exists if and only if f+′(a) = f−′(a).
- a. Sketch the following functions.
- b. Compute f+′(a) and f−′(a) at the given point a.
- c. Is f continuous at a? Is f differentiable at a?
31. f(x) = |x − 2|; a = 2
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Calculus: Early Transcendentals (3rd Edition)
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