Backpropagation Quiz

Answers and explanations appear as you take the quiz.

1. What quantity does backpropagation compute for a neural network's relevant weights?
   • Derivatives of the loss with respect to those weights
   • A causal percentage of total error uniquely assigned to each weight
   • The architecture drawing without any calculation
   • A permanently updated set of weights without an optimizer
2. Which mathematical rule is at the heart of backpropagation?
   • The Pythagorean theorem
   • Bayes' theorem
   • The chain rule of calculus
   • The quadratic formula
3. Why can reverse-mode backpropagation compute many parameter derivatives efficiently?
   • It avoids all local derivatives
   • It reuses graph structure and relevant intermediate results
   • It calculates only the output prediction again
   • It guarantees every implementation has exactly one forward pass of runtime
4. In what order does backpropagation compute gradients?
   • From the input layer toward the output layer
   • All layers simultaneously with no order
   • Only for the middle hidden layer
   • From the output layer backward toward the input layer
5. Does computing backpropagation gradients by itself establish that model weights were updated?
   • Yes; every backward computation automatically applies a learning rate
   • Yes; gradient values always replace the weights directly
   • No; the optimizer update is a separate step
   • Only if the network has no parameters
6. In a conventional cached-backpropagation workflow, what does the forward computation provide for later derivative calculations?
   • Relevant intermediate values that can be retained for the backward computation
   • A completed optimizer update without any update rule
   • A guarantee that all later evaluation errors disappear
   • A permanent deletion of the training objective
7. On one composed backpropagation path, local scalar derivatives are three and four. What is their chain-rule product?
   • Seven
   • One
   • Three quarters
   • Twelve
8. A shared parameter has loss-gradient contributions two and five through two paths. What combined contribution is accumulated?
   • Ten
   • Seven
   • Three
   • Two fifths