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

question 226

Multiple Choice

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

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

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