Question

The function f, defined by f(x)= |x-2| is differentiable in [0,1].

True or false with full explanation

Answer 1

Ans:-

$f(x)= |x-2|$

From the graph we know that from the interval $(0,1)$ line of graph will be continuous and straight line having equation $y+x=2$ which is differentiable.

So The fact is true that function

$f(x)= |x-2|$ will be differentiable in the interval of $(0,1)$