Write a Chain Rule Formula for the Following Derivative A)

question 67

Multiple Choice

Write a chain rule formula for the following derivative.
- $$\frac { \partial \mathrm { u } } { \partial \mathrm { r } } \text { for } \mathrm { u } = \mathrm { f } ( \mathrm { x } ) ; \mathrm { x } = \mathrm { g } ( \mathrm { p } , \mathrm { q } , \mathrm { r } )$$

• A) \(\frac { \partial \mathrm { u } } { \partial \mathrm { r } } = \frac { \mathrm { du } } { \mathrm { dx } } \frac { \partial \mathrm { x } } { \partial \mathrm { r } }\)
• B) \(\frac { \partial u } { \partial r } = \frac { d u } { d x }\)
• C) \(\frac { \partial \mathrm { u } } { \partial \mathrm { r } } = \frac { \partial \mathrm { x } } { \partial \mathrm { r } }\)
• D) \(\frac { \partial u } { \partial r } = \frac { d u } { d x } \frac { \partial x } { \partial p } + \frac { d u } { d x } \frac { \partial x } { \partial q } + \frac { d u } { d x } \frac { \partial x } { \partial r }\)

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