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2009 Calculus #1: One Unit Lower

Source:

June 23, 2012
calculusfunctionanalytic geometrygraphing linesslope

Problem Statement

Let ff be a diff erentiable real-valued function defi ned on the positive real numbers. The tangent lines to the graph of ff always meet the yy-axis 1 unit lower than where they meet the function. If f(1)=0f(1)=0, what is f(2)f(2)?
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