1. The problem statement, all variables and given/known data Let f be a function differentiable function with f(2) = 3 and f'(2) = -5, and let g be the function defined by g(x) = xf(x). Which of the following is an equation of the line tangent to the graph of g at point where x=2? a. y=3x b y-3 = -5(x-2) c y-6 = -5(x-2) d y-3 = -7(x-2) e y-6 = -10(x-2) 2. Relevant equations 3. The attempt at a solution given: x=2 y=3 so 3=-5(2)+b b=13 so g(x) = x(-5x+13) g(x) = -5x^2 + 13x g'(x) = -10x +13 g'(2) = -7 point slope form: d. y-3 = -7(x-2) is that correct?