PROOF 177

Prove.

Backpropagation is the chain rule

On composite functions.

Definition D1

For a function F of several variables, differentiating with respect to xᵢ while holding the remaining variables fixed is written ∂F/∂xᵢ. That is, lim (h→0) [F(…, xᵢ+h, …) − F(…, xᵢ, …)]/h.

Proof.

Related labs