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Concavity
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04.5 Chapter 4.5 Applications of Derivatives 19Okt

Sep 25, 2015

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MOHD SHAHID

APPLICATION OF DERIVATIVE PART 2
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  • Concavity

  • Point of Inflection

  • Curve SketchingExample: Sketch the graph ofSolution: Critical points, (f(x)=0): x=-1, x=1

  • f(-1)=0 is local minimum, absolute minf(1)=2 is local max, abs max

  • Horizontal asymptote: y=1

  • Applied OptimizationRead the problemDraw a pictureIntroduce variablesWrite equation for the unknown quantityTest the critical points and endpoints in the domain of the unknown

  • Applied Optimization