The function $\"\"$ .

Derivative of a function $\"\"$ is defined as $\"\"$ .

$\"\"$

The derivative of the given function.

$\"\"$

Domain of $\"\"$ :

The domain of a function is all values of x, those makes the function mathematically correct.

Since the function is a square root function, thus value inside the square root cannot be negative.

$\"\"$

Therefore domain of the function $\"\"$ is $\"\"$ .

Domain of $\"\"$ :

The function is not defined when the denominator is equal to zero.

$\"\"$

Therefore domain of the function $\"\"$ is $\"\"$ .

$\"\"$ .

Domain of the function $\"\"$ is $\"\"$ .

Domain of the function $\"\"$ is also $\"\"$ .