Question: this worksheet, we will explore relationships among functions, their derivatives, their rates of change, and the slopes of tangent lines to their graphs. 1. (a)

this worksheet, we will explore relationships among functions, their derivatives, their rates of change, and the slopes of tangent lines to their graphs. 1. (a) Sketch the graph of a function f such that (i) f0(x) exists everywhere on (0,2); (ii) f(1) = 1; and (iii) f0(1) = 2

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