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Sticky Note
∂f/∂x = lim(h → 0) [f(x + h, y) - f(x, y)]/h, if exists, is called the partial derivative of f with respect to _____?
  1. x at (x, y)
  2. x at (a, b)
  3. y at (a, b)
  4. None of these
Explanation

The formula ∂f/∂x = lim(h → 0) [f(x + h, y) - f(x, y)]/h represents the partial derivative of f with respect to x, and it's evaluated at the point (x, y).

The answer is x at (x, y).

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