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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
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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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