let(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Differentiable ?

**Physics Forums | Science Articles, Homework Help, Discussion**