Find the Total Differential of the Function $$z = 2 x ^ { 8 } y ^ { 3 }$$

question 2

Multiple Choice

Find the total differential of the function $$z = 2 x ^ { 8 } y ^ { 3 }$$

• A) \(d z = 16 x ^ { 8 } y ^ { 3 } d x + 6 x ^ { 8 } y ^ { 3 } d y\)
• B) \(d z = 48 x ^ { 7 } y ^ { 3 } d x + 48 x ^ { 8 } y ^ { 2 } d y\)
• C) \(d z = 2 x ^ { 2 } y ^ { 8 } d x + 2 x ^ { 3 } y ^ { 7 } d y\)
• D) \(d z = 16 x ^ { 7 } y ^ { 3 } d x + 6 x ^ { 8 } y ^ { 2 } d y\)
• E) \(d z = 6 x ^ { 2 } y ^ { 8 } d x + 16 x ^ { 3 } y ^ { 7 } d y\)

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