$$f(x)=\frac{3 t}{6 t + 1}$$

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

Which of the following is the domain of the function?

A. All real numbers except $\frac{1}{6}$
B. All real numbers except 0
C. All real numbers except $-\frac{1}{6}$
D. All real numbers except $\frac{1}{3}$
E. Integers
F. All real numbers except $-\frac{1}{3}$
G. Nonnegative real numbers
H. Positive real numbers

Which of the following is the domain of the derivative?

A. All real numbers except $\frac{1}{6}$
B. Integers
C. All real numbers except $\frac{1}{3}$
D. All real numbers except $-\frac{1}{6}$
E. Nonnegative real numbers
F. Positive real numbers
G. All real numbers except 0
H. All real numbers except $-\frac{1}{3}$