For the function f(x), f0 (x) > 0 and f00(x) < 0 for all x 2 R , f(2) = 1, and f0 (2) =
Chapter 25, Problem 66(choose chapter or problem)
For the function f(x), f0 (x) > 0 and f00(x) < 0 for all x 2 R , f(2) = 1, and f0 (2) = 2. a Find the equation of the tangent to f(x) where x = 2. b On the same set of axes, sketch y = f(x) and the tangent to the curve where x = 2. c Explain why f(x) has exactly one zero. d Estimate an interval in which the zero of f(x) lies.
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