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let
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.
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.