2. Let ƒ(x) = x² sin(1/x) when x ‡ 0, ƒ(0) = 0. For any a ‡ 0, find ƒ'(a).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Let f(x) = x² sin(1/x) when x ‡ 0, ƒ(0)
ƒ'(a).
3. In Q2, use the definition to find f'(0) and show that ƒ' is not continuous
at 0.
-
0. For any a ‡ 0, find
Transcribed Image Text:2. Let f(x) = x² sin(1/x) when x ‡ 0, ƒ(0) ƒ'(a). 3. In Q2, use the definition to find f'(0) and show that ƒ' is not continuous at 0. - 0. For any a ‡ 0, find
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