1. f(x) = 5x + 12 2. f(x) = x - 4x + 1; f'(2) 3. /(x) = if'(-3) 4. f(x) = 2 sinx; f'(-3) 5. /(x) = xe"; f'(1) B. Solve the following problems. Write your solutions and final answers on a separate sheet. 1. Find the equations of the tangent and normal lines to the curve y = x + 2x + 3 at x = -1. (Note: A normal line is a line perpendicular to the tangent line at the point of tangency.) 2. Find the equation of the tangent line to the curve y = x - 2x -3 that is parallel to the line x + y = 1. 3. Find the equation of the tangent line to the curve y = x' - 3x + 4 that is perpendicular to the line x - y = -1. 4. Suppose the function is defined by y = f(x) = x - x a. Find the average rate of change of y with respect to x over the interval [1, 3]. b. Find the instantaneous rate of change of y with respect to x at the point X=-1