Find the Differential of the Function $z = 3 x ^ { 3 } y ^ { 6 }$

question 122

Multiple Choice

Find the differential of the function $z = 3 x ^ { 3 } y ^ { 6 }$ .
Select the correct answer.

• A) \(d z = 9 x ^ { 2 } y ^ { 5 } d x + 18 x ^ { 2 } y ^ { 5 } d y\)
• B) \(d z = 9 x ^ { 2 } y ^ { 6 } d x + 18 x ^ { 3 } y ^ { 5 } d y\)
• C) \(d z = 18 x ^ { 2 } y ^ { 5 } d x + 9 x ^ { 2 } y ^ { 5 } d y\)
• D) \(d z = 18 x ^ { 3 } y ^ { 5 } d x + 9 x ^ { 2 } y ^ { 6 } d y\)

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