Question 6: The logistic sigmoid function is defined as follows, f(x)…

The logistic sigmoid function is defined as follows,

$f(x) = \frac{1}{1 + exp(-(wx + b))}$

The parameters are initialized to $w = 0.5$ $b = 0.5$. Suppose the loss in defined as

$L = \frac{1}{2}(f(x) - y)^2$

where $y$ is the true value. Compute the gradient of $w$ for the following sample $x = 1, y = 1$.