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Question

The charge flowing in a conductor changes with time as $\mathrm{Q}(\mathrm{t})=\alpha \mathrm{t}-\beta \mathrm{t}^{2}+\gamma \mathrm{t}^{3}$. Where $\alpha, \beta$ and $\gamma$ are constants. Minimum value of current is :

$\beta-\frac{\alpha^{2}}{3 \gamma}$
$\alpha-\frac{3 \beta^{2}}{\gamma}$
$\alpha-\frac{\beta^{2}}{3 \gamma}$
$\alpha-\frac{\gamma^{2}}{3 \beta}$

Solution

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