Q. Which of the following functions is not differentiable at x = 0? f(x) = x^2 sin(1/x) for x ≠ 0 and f(0) = 0.
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A.
f(x)
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B.
g(x) =
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C.
x
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D.
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.
h(x) = x^3
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.
k(x) = x^2
Solution
The function f(x) is not differentiable at x = 0 due to the oscillatory nature of sin(1/x) as x approaches 0.
Correct Answer: A — f(x)
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