Solve the Problem $\frac { \partial \mathrm { z } } { \partial \mathrm { v } }$

question 107

Multiple Choice

Solve the problem.
-Evaluate $\frac { \partial \mathrm { z } } { \partial \mathrm { v } }$ at $( \mathrm { u } , \mathrm { v } ) = ( 2,3 )$ for the function $\mathrm { z } = \mathrm { xy } ^ { 2 } - \ln \mathrm { x } ; \mathrm { x } = \mathrm { e } ^ { \mathrm { u } + \mathrm { v } } , \mathrm { y } = \mathrm { uv }$ .

• A) \(108 \mathrm { e } ^ { 5 } - 1\)
• B) \(60 \mathrm { e } ^ { 5 } - 1\)
• C) \(- 1\)
• D) \(48 \mathrm { e } ^ { 5 } - 1\)

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