The maximum value of `f(x)=x/(4+x+x^2)` on `[-1,1]` is (a)`1/4` (b) `-1/3` (c) `1/6` (d) `1/5`

Explanation

To find the maximum value of the function \( f(x) = \frac{x}{4 + x + x^2} \) on the interval \([-1, 1]\), we will follow these steps:

### Step 1: Find the derivative of \( f(x) \)
To find the critical points, we first need to differentiate \( f(x) \).

\[ f(x) = \frac{x}{4 + x + x^2} \]
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