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Question Number 36341 by ajfour last updated on 02/Jun/18

y=(((x−3)(x+5)^2 )/(x^2 (x+2)))  Find local maxima and minima;  hence draw the graph.Also find  radius of circle touching all three  sections of the curve that results.

$${y}=\frac{\left({x}−\mathrm{3}\right)\left({x}+\mathrm{5}\right)^{\mathrm{2}} }{{x}^{\mathrm{2}} \left({x}+\mathrm{2}\right)} \\ $$$${Find}\:{local}\:{maxima}\:{and}\:{minima}; \\ $$$${hence}\:{draw}\:{the}\:{graph}.{Also}\:{find} \\ $$$${radius}\:{of}\:{circle}\:{touching}\:{all}\:{three} \\ $$$${sections}\:{of}\:{the}\:{curve}\:{that}\:{results}. \\ $$$$ \\ $$

Answered by ajfour last updated on 01/Jun/18

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