Find the Gradient Vector Field of the Function $f ( x , y ) = x y ^ { 2 }$

question 27

Multiple Choice

Find the gradient vector field of the function $f ( x , y ) = x y ^ { 2 }$ .

• A) \(\mathbf { i } + 2 \mathbf { j }\)
• B)\(\mathbf { i } - 2 \mathbf { j }\)
• C) \(x \mathbf { i } + y ^ { 2 } \mathbf { j }\)
• D)\(x \mathbf { i } - y ^ { 2 } \mathbf { j }\)
• E)\(\mathbf { i } + 2 y \mathbf { j }\)
• F)\(\mathbf { i } - 2 y \mathbf { j }\)
• G) \(y ^ { 2 } \mathbf { i } + 2 x y \mathbf { j }\)
• H)\(y ^ { 2 } \mathbf { i } - 2 x y \mathbf { j }\)

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