Let $f(x) = 4{x^3} - 11{x^2} + 8x - 5,\,x \in R$. Then f :

Question

has a local minina at $x = {1 \over 2}$

has a local minima at $x = {3 \over 4}$

is increasing in $\left( {{1 \over 2},{3 \over 4}} \right)$

is decreasing in $\left( {{1 \over 2},{4 \over 3}} \right)$

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