Vector Based Back Propagation in Python

You are required to calculate the gradients of ?(x,w) = ‖?(??)‖^2 with respect to x_i and W_(i,j). Here ‖∙‖^2 is the calculation of L2 loss, W is 3‐by‐3 matrix and x is 3‐by‐1 vector, and ?(∙) is sigmoid function that performs element‐wise sigmoid operation. (a) Use computational graph for calculation (b) Based on(a), write a program to implement the computational graph and verify your answer in (a). You can use vectorized approach to simply your codes. Note: You are free to choose the inputs of your computational graph.