Consider the following function: g(x) = ((x^2)/(X^2)-4)Identify the following:d. Intervals where the function is increasing/decreasinge. Local extrema, give the location and value for any local maxima/minimaf. Concvity of the function and Points of Inflection (if they exist)

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Asked Nov 27, 2019
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Consider the following function: 

g(x) = ((x^2)/(X^2)-4)

Identify the following:

d. Intervals where the function is increasing/decreasing

e. Local extrema, give the location and value for any local maxima/minima

f. Concvity of the function and Points of Inflection (if they exist)

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Expert Answer

Step 1

According to the given information the given function is:

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g(x)= 2

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Step 2

For part (a)

It is required to calculate the interval where function is increasing or decreasing.

First find the first derivative of the function and equate it to zero to find the critical points.

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-4)-4) (x-4) (x2-4)(2x)-(x )(2x) (x-4) d d dc dx g'(x) 2x38x-2x (x-4) -8x (x-4)

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Step 3

Now, put g&rsquo...

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g'(x) 0 -8x =0 2 (x-4) -8x 0

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Math

Calculus

Derivative

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