Differentiating a Polynomial Cost Function

00:00 4 marks

Given the cost function $C(q) = 5q^3 – 4q^2 + 7$, where $q$ represents the quantity produced, find the marginal cost function.

Note: The marginal cost is given by the derivative $C'(q)$.

Hint Hint

Hint

Differentiate each term of $C(q)$ using the power rule.

Answer Answer
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Answer Answer

Complete Answer

$C'(q) = 15q^2 – 8q$

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

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Common Errors Common Errors

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Formula Booklet

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