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Skill check: Partial derivatives and the gradient

Overlayed vector field and contour plot.
The diagram above has two things overlayed on top of each other:
  • The contour plot of a two-variable function f(x,y)f(x, y), indicated with the black lines.
  • A two-dimensional vector field.
Is it possible for this vector field to be the gradient field of the function f(x,y)f(x, y)?
Choose 1 answer:
Choose 1 answer: