Thread: open interval and tangent lines

Suppose that I is an open interval and that f "(x) is greater than or equal to 0 for all x in I. If b is in I, then show that the part of the graph of f on I is never below the tangent line to the graph at (b, f(b)).

Originally Posted by sw2010

Suppose that I is an open interval and that f "(x) is greater than or equal to 0 for all x in I. If b is in I, then show that the part of the graph of f on I is never below the tangent line to the graph at (b, f(b)).

Here.

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