# An ideal calculus problem

Calculus Level 5

If the function

$$\large{f(x)=2x^{3}-(8-a)x^{2}+(a^{2}+\frac{19}{6})x-12}$$

has a local minima at some $$x\in R^{-}$$ then value of $$a$$ where $$a\in R$$

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