The function is .
The function is differentiable for all values of if
.
Consider right hand limit .
.
Consider right hand limit .
The function is differentiable for all values of then
.
Substitute in the function.
The function is .
The function is .
If the function is differentiable on all values of , then it continuous for all values of
.
The function is continuous for all values of if
.
Consider right hand limit
.
Consider right hand limit .
.
The function is continuous for all values of if
.
Substitute in the function.
The values of and
are
and
respectively.
The values of and
are
and
respectively.