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Consider the graph of y = f(x) below. Suppose k(x) is the slope of the line tangent to the graph of f(x) at the point

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Consider the graph of y = f(x) below. Suppose k(x) is the slope of the line tangent to the graph of f(x) at the point (x,f(x)).

(a) Estimate the values k(1), k(2) and k(3). (b) For what value(s) of x is k(x) = 0?

(c) At what value(s) of x is k(x) largest? (d) Sketch the graph of y = k(x).

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y 2-+ y=f(x) X W + 4 U O -1

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