Consider the computational graph of Figure 7.10. The upper node in each layer computes sin(x + y)
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Consider the computational graph of Figure 7.10. The upper node in each layer computes sin(x + y) and the lower node in each layer computes cos(x + y) with respect to its two inputs. For the first hidden layer, there is only a single input x, and therefore the values sin(x) and cos(x) are computed. The final output node computes the product of its two inputs. The single input x is 1 radian. Compute the numerical value of the partial derivative of the output with respect to the input x (at x = 1 radian). Show the computations using both the pathwise aggregation lemma and the backpropagation algorithm.
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