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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?
32.
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Chapter 3 Solutions
Calculus: Early Transcendentals (3rd Edition)
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