f(x) - f(a ) a. Use the definition mtan = lim to find the slope of the line tangent to the graph of f at P. x -a x- a b. Determine an equation of the tangent line at P. c. Plot the graph of f and the tangent line at P. f(x) = x2+5, P(3, 14) a. mtan K a. For the following function, find f' (a). b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a. f (x) = 12x +5, a=2 a. f' (a) = (Simplify your answer.) K a. Use the definition mtan = lim f(x) - f(a) x - a to find the slope of the line tangent to the graph of f at P. x -+a b. Determine an equation of the tangent line at P. c. Plot the graph of f and the tangent line at P. a. mtan = (Type an integer or a fraction.)