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

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