The function .

Derivative of a function is defined as .

The derivative of the given function.

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

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

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

Therefore domain of the function is .

Domain of the derivative function is also same as the domain of the function , since both are in the pattern. Therefore domain of the function is .

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Domain of the function is .

Domain of the function is also .