GATE DA 2025 Set 1 — Question 42
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Machine Learning → Neural Networks → Activation Functions
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Question
Consider the neural network shown in the figure with
inputs:
weights:
output:
denotes the ReLU function, .

Given ,
,
which one of the following is correct?
inputs:
weights:
output:
denotes the ReLU function, .

Given ,
,
which one of the following is correct?
Correct answer
(A) (∂ y)/(∂ a) = 8, (∂ y)/(∂ f) = 0
Solution
Let the hidden neurons be (top) and (bottom).
Substitute values:
. Since and .
. Since and .Calculate derivatives:
.Thus, and .
Substitute values:
. Since and .
. Since and .Calculate derivatives:
1..
2.
.Thus, and .
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