- #1

Nanatsu

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## Homework Statement

f(x) = {x, x rational, 0, x irrational

g(x) = {x^2, x rational, 0, x irrational

Show that f(x) is not differentiable at 0.

Show that g(x) is differentiable at 0

## Homework Equations

f'(x) = lim(h->0) f(x+h) - f(x)/h I suppose

## The Attempt at a Solution

Just wondering if I'm thinking right. For f(x) the difference quotient becomes h/0 as h-> 0 and with g(x) it becomes lim(h->0) h^2/h = lim(h->0) h = 0?