Inspired by Caleb Townsend

Calculus Level 3

At how many points is the following function (over the reals) not differentiable?

f(x)={0,x0x2,0<x11,x>1 f(x) = \begin{cases} 0, & x \leq 0 \\ x^2, & 0<x \leq 1 \\ 1, & x > 1 \end{cases}


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