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Determine Largest and Smallest values of the Marginal Cost

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The total cost of producing x units of a certain commodity is
C(x) = 2x^4 - 10x^3 - 18x^2 + 200x + 167.
determine the largest and smallest values of the marginal cost for 0< X 5.. i cant put the equal sign by the < point, but both are equal or greater or equal to or less.

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The expert determines the largest and smallest values of the marginal cost. A complete, neat and step-by-step solution is provided.

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C(x) = 2x^4 - 10x^3 - 18x^2 + 200x + 167

Marginal cost is the derivative of C(x)

MC(x) = 8x^3 - 30x^2 - 36x + 200

For maximum or minimum MC(x), the derivative of MC(x) = ...

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