Solve the Problem

question 189

Short Answer

Solve the problem.
- $$\text { Show that } \mathrm { df } = - \frac { 5 \left( \mathrm { y } ^ { 7 } + \mathrm { z } \right) } { \mathrm { x } ^ { 6 } \mathrm { z } ^ { 4 } } \mathrm { dx } + \frac { 7 \mathrm { y } ^ { 6 } } { \mathrm { x } ^ { 5 } \mathrm { z } ^ { 4 } } \mathrm { dy } - \left( \frac { 4 \mathrm { y } ^ { 7 } } { \mathrm { x } ^ { 5 } \mathrm { z } ^ { 5 } } + \frac { 3 } { \mathrm { x } ^ { 5 } \mathrm { z } ^ { 4 } } \right) \mathrm { dz } \text { is exact. }$$

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