Chapter 9.9, Problem 21E

Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

If the cost function for a commodity is C ( x )   = 300   +   4 x   + x 2 graph the marginal cost function.

To determine

To graph: The marginal cost function for a commodity with cost function, C(x)=300+4x+x2.

Explanation

Given Information:

The cost function of the commodity is C(x)=300+4x+x2.

Graph:

Consider the provided cost function,

C(x)=300+4x+x2

To find the marginal revenue, differentiate the cost function with respect to x,

Câ€²(x)=ddx(300+4x+x2)=ddx(x2)+ddx(4x)+ddx(300)=ddx(x2)+(4)ddx(x)+ddx(300)

According to the power rule of derivative, for a function of form y=xn, the derivative is dydx=nxnâˆ’1

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