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Math Foundations
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Calculus
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Partial derivatives
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332.
Gradient Definition
easy
The gradient of a scalar function f(x₁, x₂, ..., xₙ) is defined as what?
A
The scalar sum of all partial derivatives: Σ ∂f/∂xᵢ evaluated at the current point
B
The magnitude of the steepest ascent direction: ||[∂f/∂x₁, ..., ∂f/∂xₙ]||
C
The vector of all partial derivatives: [∂f/∂x₁, ∂f/∂x₂, ..., ∂f/∂xₙ]
D
The matrix of second-order partial derivatives: ∂²f/∂xᵢ∂xⱼ for all pairs i and j
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