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Math Foundations
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Calculus
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Partial derivatives
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119.
Computing the Gradient
easy
If f(x, y) = x² + y², what is the gradient ∇f at the point (1, 2)?
A
[4, 4], since the gradient doubles each coordinate for symmetric quadratic functions
B
[2, 2], since the gradient of a sum of squares is always the vector of squared inputs
C
[1, 2], since the gradient equals the input coordinates for quadratic bowl functions
D
[2, 4], since ∂f/∂x = 2x = 2 and ∂f/∂y = 2y = 4 at (1, 2)
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