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. 

Since the function square root , 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 .