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**1. Suppose f(x)=0 if x is irrational, and f(x)=x if x is rational. Is f differentiable at x=0?**

**2. the derivative= lim[h->0] [f(a+h)-f(a)]/h**

**3. I don't really know how to start, but I do know that between any two real numbers, there exists a rational and irrational number. So I'm guessing that has something to do with solving for the answer. f'(0)= lim[h->0] f(h)/h**