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consider the function g(x)= e cosx explain why, if we connect any two points of the graph of g(x) with a line segment, that line

consider the function g(x)= e^cosx

explain why, if we connect any two points of the graph of g(x) with a line segment, that line segments slope must be between -e and e. please refer to a calculus theorem when showing your work and explanation please

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