$$f(x)=x+\sqrt x$$

Find the derivative of the function above using the definition of the derivative.

Which of the following is the domain of the function?

A. $x\geq -1/2$
B. Integers
C. Positive real numbers
D. $x> -1/2$
E. All real numbers except 0
F. All real numbers
G. x= 0
H. Nonnegative real numbers
I. A galaxy far, far away

Which of the following is the domain of the derivative?

A. A galaxy far, far away
B. All real numbers except 0
C. $x> -1/2$
D. $x\geq -1/2$
E. x=0
F. Nonnegative real numbers
G. Positive real numbers
H. All real numbers
I. Integers