Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.
f(x) = (12x - 3)^(1/2), x = 1
f'(x) = 6 / (12x - 3)^(1/2)
The equation of the line tangent to the graph of f at x = 1 is y = 2x + 1.
Select the correct choice below and fill in any answer boxes in your choice.
A. The tangent line is horizontal at x = . (Use a comma to separate answers as needed.)
B. The tangent line is never horizontal.