Obtain the first derivative of the following functions from first principles, without using a series expansion:
(i) y(x) = 3/√(2x+1)
(ii) y(x) = 4√x
Recently, I provided solutions to these first principles derivatives, but made use of series expansions in the process. I've a feeling that some people, who could be interested in the question, might be uncomfortable with series expansions, so I've produced solutions without using these expansions. So I'll answer my own question!