Find the gradient vector field of f. f(x, y) = xe^xy

Annette Arroyo

Annette Arroyo

Answered question

2021-09-15

Find the gradient vector field of f.
f(x,y)=xexy

Answer & Explanation

Asma Vang

Asma Vang

Skilled2021-09-16Added 93 answers

Recall that the gradient of the vector field is given as a vector its partial derivatives. That is:
f=(dfdx,dfdy)
After calculating the partial derivatives we obtain the gradient:
f=(xexyy+exy,x2exy)
Result: f=(xexyy+exy,x2exy)

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