Suppose the number N of loons on a lake after x hours is modeled by N = f(x)3D V2x + 1. a) State the definition of the derivative and find f'(40) using the definition of the derivative. b) Interpret the meaning of f' (40). What are its units? c) Find the equation of the tangent line to the graph of f at the point (40, 6). b) Calculate f" f'(x) dx and interpret the meaning of your answer in terms of the loons.

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