AP Calculus AB Practice Exam Multiple Choice Problem 78

AP Calculus AB Practice Exam
Multiple Choice Problem 78

Function f is differentiable and f(3) = 6 and f'(3) = 4. Function g is defined as g(x) = f(x) / x. What is the equation of the line tangent to function g at x = 3 ?

A. y - 2 = 4(x - 3)

B. y - 2 = (4/3)(x - 3)

C. y - 6 = 4(x - 3)

D. y - 2 = (2/3)(x - 3)

E. y - 3 = (2/3)(x - 2)