The cost function of a firm $C (x) = 3 x^{2} - 2 x + 3$ . Find the marginal cost when $x = 3$ .

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Solution

The correct option is C 16
$\Rightarrow$ We have, $C (x) = 3 x^{2} - 2 x + 3$
$\Rightarrow$ Marginal cost = $\frac{d}{d x} C (x)$

$\Rightarrow$ Marginal cost = $\frac{d}{d x} (3 x^{2} - 2 x + 3)$

$\Rightarrow$ Marginal cost = $2 \times 3 x - 2 = 6 x - 2$ .
$\Rightarrow$ Now, substitute value of $x = 3$ ,
$\Rightarrow$ Marginal cost = $6 \times 3 - 2 = 18 - 2 = 16$

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