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) \(\frac { \partial \mathrm { u } } { \partial \mathrm { t } } = \frac { \partial \mathrm { v } } { \partial \mathrm { t } }\)

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