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Chain Rule Calculator
Calculate ∂z/∂x for z = f(y₁, y₂, ...), where each yᵢ = gᵢ(x₁, x₂, ...).
Outer function z = f(y₁, y₂, ...)
Intermediate Variables in Outer Function (comma-separated, e.g., y1, y2)
Inner Functions yᵢ = gᵢ(x₁, x₂, ...)
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Add Inner Function (yᵢ)
Independent Variables (x₁, x₂, ... in inner functions, comma-separated)
Target Independent Variable (for ∂z/∂x)
Select x variable
Evaluation Points for Independent Variables (optional, comma-separated)
Calculate ∂z/∂x