The function is
.
The domain of a function is set of all values of
, which makes the function mathematically correct.
The function under the square root cannot be negative.
\
The domain of
is
.
The function
is continuous over the interval
.
The function is
.
Limit definition of derivatives :
.

.
Denominator of the derivative function should not be zero or negative.
\
Domain is
.
The derivative of the function
is differentiable for
.
The derivative of the function
is differentiable for
.