# Integrals: Cost function and Marginal Cost

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Given ist the following cost function:

k(x)=x^3-9x^2+29x+35

x= quantity k= cost

Question 1:

At what quantity is the minimum of the marginal cost?

Question 2:

What is the increase of cost if the production is increased from 3 to 4 (integral)?

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##### Solution Summary

A function is used to calculate marginal cost.

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Question 1:

As we know the function of the marginal cost is the first derivative of k.Let we use m(x) denote the marginal cost function.So ...

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