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The total cost function for units is given by . Show that the marginal cost decreases as the output…

Mathematics20232 marksDerivation
The total cost function for $x$ units is given by $C(x) = \sqrt{6x + 5} + 2500$. Show that the marginal cost decreases as the output $x$ increases.

Given: C(x) = \sqrt{6x + 5} + 2500

To show: \text{Marginal cost decreases as the output } x \text{ increases}

Answer

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Application of Calculus

From ISC 2023 Mathematics Paper 1, question 20(i).