Consider the function: g(x)= -x^2 +3x +2 a. Use the limit definition of the derivative to compute a formula for y=g'(x) Type your response here. b. Determine the slope of the tangent line to y=g(x) at the value x-2. Type your response here. C. Compute g(2) Type your response here. d. Find an equation for the tangent line to y=g(x) at the point (2,g(2)). Write your result in point-slope form Type your response here. " Sketch an accurate, labeled graph of y g(x) along with its tangent line at the point (2.g(2))