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f(x)={x2, rational xx3, irrational x \large{ f(x) = \begin{cases} x^2 , \quad \text{ rational }x \\ x^3 , \quad \text{ irrational }x \\ \end{cases} } f(x)=⎩⎨⎧x2, rational xx3, irrational x
Let f(x)f(x) f(x) be described as the function above. If f(x)f(x) f(x) is continuous at exactly ppp points and differentiable at exactly qqq points, find p+qp+qp+q.
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