Find the greatest value of `f(x)1/(2a x-x^2-5a^2)in[-3,5]` depending upon the parameter `adot`

Explanation

To find the greatest value of the function \( f(x) = \frac{1}{2ax - x^2 - 5a^2} \) in the interval \([-3, 5]\) depending on the parameter \( a \), we will follow these steps:

### Step 1: Rewrite the Function
We start with the function:
\[ f(x) = \frac{1}{2ax - x^2 - 5a^2} \]
We can rewrite the denominator:
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