Consider the following. f(x) = x In x4, (-1,0) (a) Find an equation of the tangent line to the graph of the function at the indicated point. (Use x for the independent variable and y for the dependent variable.) (b) Use a graphing utility to graph the function and its tangent line at the point. y y 2 2 -3 -2 2 3 -3 -2 2 3 -1 4 -2 X A M k y 2 1 -3 -2 2 X 3 -3 -2 2 -2 3 y O O (c) Use the derivative feature of a graphing utility to confirm your results. 3

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