A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(2, f(2)) and Q(x, f
(x)). x − 2 f(x) − f(2) f(2) − 2 f(x) − x f(x) − x f(2) − 2 f(x) − f(2) x − 2 (b) Write an expression for the slope of the tangent line at P. lim x→0 f(x) − f(2) x − 2 lim x→2 x − 2 f(x) − f(2) lim x→2 f(x) − f(2) x − 2 lim x→0 f(x) − x f(2) − 2
