Find the Value of the Gradient Vector Field of the Function

question 53

Multiple Choice

Find the value of the gradient vector field of the function $f ( x , y ) = e ^ { xy ^ { 2 } }$ at the point $( 1,1 )$ .

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

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