1. Let y = f(x) = 2x + 1. a) Sketch the graph of as accurately as possible. b) Calculate the slope of the secant line to the graph of over the interval [2,2.5]. Draw this secant line on your graph. c) Draw the tangent line at (2,9). d) Estimate the slope of this tangent line. e) For a small, positive number h, find a formula that gives the slope of the secant line passing through (2,9) and (2+h, f(2+ h)). Draw a typical secant line on your graph for an arbitrary h as above. f) By using a limit process and the formula found in part e), find the exact slope of the tangent line at (2,9). 2. Find the derivative with respect to x for each of the following functions. a) f(x)=3x-2 d) f(x) = x10 g) f(x) = 2x j) h(x) = 4x m) g(x) = 2x-3 3. Find the indicated quantities: a) f'(x) for f(x) = 2x - x b) g(x) = 4 e) f(x) = x/2 h) f(x)=x k) g(x)=3-2x n) f(x) = 3x+2x-x I d b)(6-3x - x/2) c) f(x) = x f) f(x) = i) f(x) = x 1) f(x)=x12+4x+5 d c) (-x1-3x- I