The local minima of
are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)
<h3>How to determine the local minima?</h3>
The function is given as:
![f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3D%5C%20%5Cfrac%7B%5Cleft%282x%2B3%5Cright%29%5E2%5Cleft%28x%5C%20-2%5Cright%29%5E5%7D%7Bx%5E3%5Cleft%28x-5%5Cright%29%5E2%7D)
See attachment for the graph of the function f(x)
From the attached graph, we have the following minima:
Minimum = (-1.5, 0)
Minimum = (7.980, 609.174)
The above means that, the local minima are
(x, f(x)) = (-1.5, 0) and (7.980, 609.174)
Read more about graphs at:
brainly.com/question/20394217
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