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The maximum value of f(x)=x/(4-x+x^2) o...

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`

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`frac{1}{6}`
Given : `f(x)=frac{x}{4+x+x^{2}} `
`Rightarrow f^{prime}(x)=frac{4+x+x^{2}-x(1+2 x)}{(4+x+x^{2})^{2}}`
...
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