04.5 chapter 4.5 applications of derivatives 19okt

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Concavity

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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

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