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  3. consider the function f(x)=3x-5/sqrt x^2+1. given

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify...

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Advance Math

consider the function

f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 andf''(x)=-10x^2-9x+5/(x^2+1)^5/2

a) find the local maximum and minimum values. Justify youranswer using the first or second derivative test . round youranswers to the nearest tenth as needed.

b)find the intervals of concavity and any inflection points off. Round to the nearest tenth as needed.

c)graph f(x) and label each important part (domain, x- and y-intercepts, VA/HA, CN, Increasing/decreasing, local min/max values,intervals of concavity/ inflection points of f?

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