3. Let f : R → R be defined by f(x) = x² for x rational, f(x) irrational. Show that f is differentiable at x = 0 and find f'(0). 0 for x

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3. Let f : R → R be defined by f(x)
irrational. Show that f is differentiable at x = 0 and find f'(0).
= x? for x rational, f(x) = 0 for x
Transcribed Image Text:3. Let f : R → R be defined by f(x) irrational. Show that f is differentiable at x = 0 and find f'(0). = x? for x rational, f(x) = 0 for x
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