Find the Partial Derivative $\frac { \partial z } { \partial y } \text { for the function } z = \cos \left( x ^ { 5 } + y ^ { 5 } \right)$

question 51

Multiple Choice

Find the partial derivative $\frac { \partial z } { \partial y } \text { for the function } z = \cos \left( x ^ { 5 } + y ^ { 5 } \right)$

• A) \(\frac { \partial z } { \partial y } = - 5 y ^ { 4 } \sin \left( x ^ { 5 } + y ^ { 5 } \right)\)
• B) \(\frac { \partial z } { \partial y } = - 5 y ^ { 6 } \sin \left( x ^ { 5 } + y ^ { 5 } \right)\)
• C) \(\frac { \partial z } { \partial y } = 5 y ^ { 6 } \sin \left( x ^ { 6 } + y ^ { 6 } \right)\)
• D) \(\frac { \partial z } { \partial y } = 5 y ^ { 6 } \cos \left( x ^ { 6 } + y ^ { 6 } \right)\)
• E) \(\frac { \partial z } { \partial y } = 5 y ^ { 4 } \cos \left( x ^ { 5 } + y ^ { 5 } \right)\)

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