Unformatted text preview: * " " f ( c ) > " f(c) is a Relative Minimum since it is concave up about x=c. 1. f ( x ) = ln( x ) x 2. 3 2 2 3 3 ) ( x x x f ! + = I. The First Derivative Test conclusions depend on the signs of the first derivative. For each function above: a) find the critical points, b) make a sign analysis of the first derivative and c) apply the FDT to find the relative extrema. a) b) c) The Second Derivative Test is used only on stationary points, c. For each function above d) find the second derivative and make a sign analysis. Apply the SDT, e) determine if " " f ( c ) < or " " f ( c ) > , then f) state the relative extrema. d) e) f) II. On the back make a s ketch with critical points and inflection points labeled as time permits....
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 Spring '11
 Dr.Shaw
 Calculus, Critical Point, Derivative, Differential Calculus, Mathematical analysis, Stationary point

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