Find the Partial Derivative $\frac { \partial z } { \partial x } \text { for the function } z = \cos \left( x ^ { 8 } + y ^ { 8 } \right) \text {. }$

question 29

Multiple Choice

Find the partial derivative $\frac { \partial z } { \partial x } \text { for the function } z = \cos \left( x ^ { 8 } + y ^ { 8 } \right) \text {. }$

• A) \(\frac { \partial z } { \partial x } = - 8 x ^ { 7 } \sin \left( x ^ { 8 } + y ^ { 8 } \right)\)
• B) \(\frac { \partial z } { \partial x } = 8 x ^ { 9 } \sin \left( x ^ { 9 } + y ^ { 9 } \right)\)
• C) \(\frac { \partial z } { \partial x } = - 8 x ^ { 9 } \sin \left( x ^ { 8 } + y ^ { 8 } \right)\)
• D) \(\frac { \partial z } { \partial x } = 8 x ^ { 9 } \cos \left( x ^ { 9 } + y ^ { 9 } \right)\)
• E) \(\frac { \partial z } { \partial x } = 8 x ^ { 7 } \cos \left( x ^ { 8 } + y ^ { 8 } \right)\)

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