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The Second Derivative Test

By William Wagner,2014-12-06 14:37
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The Second Derivative Test 1. The Second-Derivative Test Let f be a function that is twice differentiable near x 1 and also near x 2 . See Fig. 1. Suppose f '(x 1 ) = 0 and f ''(x 1 ) > 0. So the graph of f has a horizontal tangent at x 1 and is concave up there. This means that f(x 1 ) is a local minimum of f. Similarly, if f '(x 2 ) = 0 a..
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