Use the Chain Rule to Find $\frac { \partial u } { \partial p }$

question 29

Multiple Choice

Use the Chain Rule to find $\frac { \partial u } { \partial p }$ . $u = \frac { x + y } { y + z }$ $x = p + 5 r + 7 t , y = p - 5 r + 7 t , z = p + 5 r - 7 t$

• A) \(\frac { \partial u } { \partial p } = - \frac { 7 t } { p ^ { 2 } }\)
• B) \(\frac { \partial u } { \partial p } = \frac { 7 t } { p }\)
• C) \(\frac { \partial u } { \partial p } = - \frac { 5 t } { p ^ { 3 } }\)
• D) \(\frac { \partial u } { \partial p } = - \frac { 35 t } { p ^ { 2 } }\)
• E) \(\frac { \partial u } { \partial p } = \frac { 35 t } { p ^ { 2 } } + t\)

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