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Partial Derivative (∂)
★★★☆☆High School
📖Definition
∂ is used for differentiating multivariable functions with respect to one variable, treating others as constants.
📐Formulas
(∂ f)/(∂ x)
Partial derivative with respect to x
(∂² f)/(∂ x ∂ y)
Mixed partial derivative
∇ f = ( (∂ f)/(∂ x), (∂ f)/(∂ y), (∂ f)/(∂ z) )
Gradient
✏️Examples
예제 1
Find ∂f/∂x for f(x,y) = x²y + y³.
⚡Applications
Physics
Thermodynamics, electromagnetism
Economics
Marginal utility, marginal cost
Machine Learning
Backpropagation
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