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f(x) = 2-x if x<= 1

x^2 - 2x + 2 if x > 1

Is f diff at x = 1?

At first I would say yes because f(x) is continuous at x = 1.

But when I graph f '(x) it is obvious that the function is not differentiable at x = 1.

My questions is.... is there another way to determine if f is diff at x = 1 other than graphing????

thank you.