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40 40 30 50 Slope of tangent line at (1, 8): 20 20 (1,8) -2 0 2 6 8 10 10 12 14 The

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40 40 30 50 Slope of tangent line at (1, 8): 20 20 (1,8) -2 0 2 6 8 10 10 12 14 The graph above is that of f(x) (in blue) The slope of the tangent line at a point on the graph of f(x) is also given. The point on the graph can be moved as needed. Suppose that g(x) = 4x (a) If h(x) = f(g(x)), determine the value of h'(1). h'(1) = (b) If m(x) = f(x) g(x), determine the value of m' (1).

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