For each of the following functions, find the derivative vector for those points where it is defined:
a. I know that . As a result, then
By taking the partial derivatives, then
So, the gradient would be
However, I have a hard time understanding the gradient vector/derivative vector. I'm slightly confused because I thought was called the gradient and not a vector. If I can just understand this, then I can do (c) as well.
Thank you for your time.