Find the derivative of the cost function (attached) The image presents a mathematical expression likely related to production functions or cost functions in economics. The expression is as follows:\[ c(w_1, w_2, y) = w_1 x_1 + w_2 x_2 = \frac{\alpha_1 + \alpha_2}{\alpha_1} w_1 x_1 \]This equation shows the total cost $ c $ as a function of $ w_1, w_2, $ and $ y $, where $ w_1 $ and $ w_2 $ are possibly input prices or weights, and $ x_1 $, $ x_2 $, and $ \alpha_1, \alpha_2 $ are parameters specific to the model.The equation is further expanded as:\[ = \left[ (\alpha_1 + \alpha_2) \alpha_2^{-\frac{\alpha_2}{\alpha_1+\alpha_2}} \alpha_1^{-\frac{\alpha_1}{\alpha_1+\alpha_2}} \right] w_1^{\frac{\alpha_1}{\alpha_1+\alpha_2}} w_2^{\frac{\alpha_2}{\alpha_1+\alpha_2}} \left( \frac{y}{A} \right)^{\frac{1}{\alpha_1+\alpha_2}}\]This expression seems to represent a more detailed cost calculation, where the parameters $ \alpha_1 $ and $ \alpha_2 $ are used to incline the cost function towards known economic inputs or outputs, likely in relation to some production factor or total output $ y $, normalized by a factor $ A $.No graphs or diagrams are present, just an in-depth mathematical expression.

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Description: Find the derivative of the cost function (attached) The image presents a mathematical expression likely related to production functions or cost functions in economics. The expression is as follows:\[ c(w_1, w_2, y) = w_1 x_1 + w_2 x_2 = \frac{\alpha_

Given that cw1,w2,y=w1x1+w2x2=α1+α2α1w1x1=α1+α2α2-α2α1+α2α2-α1α1+α2w1α1α1+α2w2α2α1+α2yA1α1+α2 The…

Answered: ai + a2 c(w1, w2, y) = w1X1+W2X2 = -aj…

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ai + a2 c(w1, w2, y) = w1X1+W2X2 = -aj [(a1 + a2)ag' W2 %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the derivative of the cost function (attached)

The image presents a mathematical expression likely related to production functions or cost functions in economics. The expression is as follows:

\[
c(w_1, w_2, y) = w_1 x_1 + w_2 x_2 = \frac{\alpha_1 + \alpha_2}{\alpha_1} w_1 x_1
\]

This equation shows the total cost $ c $ as a function of $ w_1, w_2, $ and $ y $, where $ w_1 $ and $ w_2 $ are possibly input prices or weights, and $ x_1 $, $ x_2 $, and $ \alpha_1, \alpha_2 $ are parameters specific to the model.

The equation is further expanded as:

\[
= \left[ (\alpha_1 + \alpha_2) \alpha_2^{-\frac{\alpha_2}{\alpha_1+\alpha_2}} \alpha_1^{-\frac{\alpha_1}{\alpha_1+\alpha_2}} \right] w_1^{\frac{\alpha_1}{\alpha_1+\alpha_2}} w_2^{\frac{\alpha_2}{\alpha_1+\alpha_2}} \left( \frac{y}{A} \right)^{\frac{1}{\alpha_1+\alpha_2}}
\]

This expression seems to represent a more detailed cost calculation, where the parameters $ \alpha_1 $ and $ \alpha_2 $ are used to incline the cost function towards known economic inputs or outputs, likely in relation to some production factor or total output $ y $, normalized by a factor $ A $.

No graphs or diagrams are present, just an in-depth mathematical expression.

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Hi I need help finding the derivative of the following function in the picture with respect to m & b.