Write a Chain Rule Formula for the Following Derivative $\frac { \partial w } { \partial x }$

question 189

Multiple Choice

Write a chain rule formula for the following derivative.
- $\frac { \partial w } { \partial x }$ for $w = f ( p , q ) ; p = g ( x , y ) , q = h ( x , y )$

• A) \(\frac { \partial w } { \partial x } = \frac { \partial w } { \partial p } \frac { \partial p } { \partial x } + \frac { \partial w } { \partial q } \frac { \partial q } { \partial x }\)
• B) \(\frac { \partial w } { \partial x } = \frac { \partial w } { \partial p } \frac { \partial p } { \partial x }\)
• C) \(\frac { \partial w } { \partial x } = \frac { \partial w } { \partial x } \frac { \partial x } { \partial p } + \frac { \partial w } { \partial x } \frac { \partial x } { \partial q }\)
• D) \(\frac { \partial w } { \partial x } = \frac { \partial w } { \partial p } + \frac { \partial w } { \partial q }\)

---

Definitions:

Lifetime Value

The total net profit attributed to a customer over the entirety of their relationship with a company.

Transaction-by-Transaction Basis

Evaluating or managing each transaction individually rather than considering overall performance over time.

Quick Response System

A supply chain management approach designed to speed up inventory replenishment and enhance efficiency.

Sustainable Competitive Advantage

A long-term strategy that allows an organization to consistently outperform its competitors over time, due to unique resources or capabilities.