Show tha the function ` f (x) = {{:(1+x"," if x le 2 ,), ( 5-x "," if x gt 2):}` is not differentiable at ` x = 2`.

Show that the function f(x)={:{(1+x ", " x le2","),(5-x", "x gt2):} is not differentiable at x=2

Show that the function f(x)={:{(1+x ", " x le2","),(5-x", "x gt2):} is not differentiable at x=2

The function f(x) = {(1 + x", when " x le 2),(5 -x ", when " x gt 2):} is

f(x)={{:(1+x, if x le 2),(5-x,ifx gt 2):} at x = 2 . Examine the differentiability

Show that the function f (x) = {{:( x , if x lt 1), ( 3-x , if 1 le x le 3), (x ^(2) - 4x +3, if x gt 3):} is not differentiable at 1,3.

Show that the function f (x) = {{:( x, if x lt 1), ( 6 -2x , if 1 le x le 3), ( x ^(2) - 4x + 3, if x gt 3):} is not differentiable at x = 1,3

f(x)={{:(1+x, if x le 2),(5-x,ifx gt 2):} at x = 2 .

Show that the function f(x)={{:(,x^2,x le 1),(,1/x,x gt 1):} continuous at x=1 but not differentiable.