Question

for what values of f(x) = |x - 1| differentiable?

Answer 1

well think about f(x)=|x-1|
for which value of x is there a sharp turn?

Answer 2

When you can name that value, then you have found the only value of x which f is not differentiable

Answer 3

at 1

Answer 4

what does that satement mean exactly?

Answer 5

it is not differential at x=1

Answer 6

\[\frac{ d }{ dx }\left| x-a \right|=\frac{ x-a }{ \left| x-a \right| }\frac{ d }{ dx }\left( x-a \right)\]