
Once the forward pass is done, the results are used in the backward pass where the derivatives in the computational graph are executed. The basic derivatives are stored in the tools/autograd/derivatives.yaml file and they are not regular derivatives but the Jvp versions of them [3]. They take their primitive function inputs and outputs as parameters along with the gradient of the function outputs with respect to the final outputs. By repeatedly multiplying the resulting gradients by the next Jvp derivatives in the graph, the gradients up to the inputs will be generated following the chain rule.


Figure 6: How the chain rule is applied in backward differentiation
