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

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

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

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

Show that the function f(x) = {:{(|x|, x le2),([x],x>2):} is continouous on [0,2]

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

If f(x)={:{(x^2", "x le 1),( x^2-x+1"," x gt1):} then show that f(x) is not differentiable at x=1 .

If f(x)={:{(x^2", "x le 1),( x^2-x+1"," x gt1):} then show that f(x) is not differentiable at x=1 .