I think I have fully understood week-3 except one really simple thing.
The video does not explain how they came up with these derivatives. (I have zero formal background in calculus, learning myself).
The way I think about this is
Z = Wx + b
partial derivative of w / Z is dz = dWx (b is dropped since it is a constant)
so dW = dZ / x ie. dZ * x.T
partial derivative of b / Z is dz = db (dWx is dropped since it is a constant)
which matches with the screenshot db = dZ.
Am I correct? if not, can someone please explain? Or point out the segment in the video where this derivative is discussed.