   Chapter 9.9, Problem 22E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# If the cost function for a commodity is C ( x )   =   x 3 − 12 x 3 +   63 x   +   15 graph the marginal cost function.

To determine

To graph: The marginal cost function for a commodity with cost function, C(x)=x312x2+63x+15.

Explanation

Given Information:

The cost function of the commodity is C(x)=x312x2+63x+15.

Graph:

Consider the provided cost function,

C(x)=x312x2+63x+15

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

C(x)=ddx(x312x2+63x+15)=ddx(x3)ddx(12x2)+ddx(63x)+ddx(15)=ddx(x3)12ddx(x2)+63ddx(x)+ddx(15)

According to the power rule of derivative, for a function of form y=xn, the derivative is dydx=nxn1

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