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Let f(x) = x'sin (-) for x + 0 and f(0) = 0. d) Let g(x) = x? if x < 0 and g(x) = x² sin - if x > 0. Determine whether or not g is differentiable at x = 0. If it is, findg' (0).

Let f(x) = x'sin (-) for x + 0 and f(0) = 0. d) Let g(x) = x? if x < 0 and g(x) = x² sin - if x > 0. Determine whether or not g is differentiable at x = 0. If it is, findg' (0).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(x) = x'sin (-) for x + 0 and f(0) = 0. d) Let g(x) = x² if x < 0 and g(x) = x² sin - if x > 0. Determine whether or not g is differentiable at x = 0. If it is, findg (0).
Transcribed Image Text:Let f(x) = x'sin (-) for x + 0 and f(0) = 0. d) Let g(x) = x² if x < 0 and g(x) = x² sin - if x > 0. Determine whether or not g is differentiable at x = 0. If it is, findg (0).
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