solve all thank you

Exercise 2 Find an equation for the tangent line to the graph of f(x) = 5 - x - 3x2 at the point x = 2 Exercise 3 Find a value for a so that the graph of f(x) = x2 + ax - 3 has a horizontal tangent line at x = 4. Exercise 4 Find the slope of the tangent line to the graph of the given function at any point. a. f(x) =7 f(x) = x+5 f(x) = 2x2 f(x) =V3x - 1 Exercise 5 Find the slope of the tangent line to the graph of each function at the given point and determine an equation of the tangent line. a. f(x) = 2x + 7 at (1, 1) b. f (x ) = - at (2, -1) X Exercise 6 Let f(x) = x2 -2x+1 a. Determine the derivative f' of f. b. Determine the point on the graph of f where the tangent line to the curve is horizontal. c. Sketch the graph of f and the tangent line at the point found in part (b). d. Determine the rate of change of fat the point found in part (b). Exercise 7 Let y = h(t) = tz + t a. Find the average rate of change of y with respect to t in the interval from t = 2 tot = 3, from t = 2 to t = 2.5, and from t = 2 to t = 2.1. b. Find the instataneous rate of change of y at t = 2 c. Compare the results obtained in (a) with that of part (b)