Find the derivative of the function f(x) = 5x2 + 15x 11 at number 1. (Use symbolic notation and fractions Where needed.) Find the derivative of the function f (x) = 10x2 + 14 at number 4. (Use symbolic notation and fractions where needed.) f' = E Suppose f is a function and c is a real number. Select ALL the true statements about a tangent line. D The slope of the tangent line to the graph of f at the point (c, f (c)) is f ' (c) = lim M. xn: xc CI The ling f (x) is the rate of change of the tangent line. X> D If the distance between two points forming the secant line for a function f approaches 0, then the tangent line is formed. D Iffl(c) =1im f(x)_f(c) xn: xc = 0, then the tangent line at the point (c, f (c)) is a horizontal line. CI The slope of the tangent line to the graph of f at the point (c, f (c)) is the average rate of change of f from c to x. (a) Find the slope of the tangent line to the graph of the function f (x) = 7x4 + 5x 3 at the point (1,9). (Give an exact answer. Use symbolic notation and fractions where needed.) (b) Find an equation of the tangent line to the graph of the function f at the point (1, 9). (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f (x) and give the equations in terms of y and x.) equation