Write a Chain Rule Formula for the Following Derivative $\frac { \partial \mathrm { u } } { \partial \mathrm { t } }$

question 119

Multiple Choice

Write a chain rule formula for the following derivative.
- $\frac { \partial \mathrm { u } } { \partial \mathrm { t } }$ for $\mathrm { u } = \mathrm { f } ( \mathrm { v } ) ; \mathrm { v } = \mathrm { h } ( \mathrm { s } , \mathrm { t } )$

• A) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \mathrm { dv } } { \mathrm { du } } \frac { \partial \mathrm { u } } { \partial \mathrm { t } }\)
• B) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \mathrm { du } } { \mathrm { dv } } \frac { \partial \mathrm { v } } { \partial \mathrm { t } }\)
• C) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \mathrm { du } } { \mathrm { dv } }\)
• D) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \partial \mathrm { v } } { \partial \mathrm { t } }\)

---

Definitions:

Millward Brown

A global market research agency known for its expertise in brand management and advertising effectiveness measurement.

Brand Strength

The extent of brand recognition and loyalty that a brand has, influencing its market performance.

Performance

The degree to which an individual, group, or organization meets its objectives and achieves results effectively and efficiently.

Marketing Communications

A subset of marketing that focuses on disseminating information or messages about a product, brand, or company to its target customers.