Irrational Exuberance

Calculus Level 3

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} }

Let f(x)f(x) be described as the function above. If f(x)f(x) is continuous at exactly pp points and differentiable at exactly qq points, find p+qp+q.

×

Problem Loading...

Note Loading...

Set Loading...