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At how many points is the following function (over the reals) not differentiable?
f(x)={0,x≤0x2,0<x≤11,x>1 f(x) = \begin{cases} 0, & x \leq 0 \\ x^2, & 0<x \leq 1 \\ 1, & x > 1 \end{cases} f(x)=⎩⎪⎨⎪⎧0,x2,1,x≤00<x≤1x>1
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