While practicing derivative problems, I came across one that stumped me: lim h->0 f(x)=1/sqrt(x), at the point a=1/4
I got as far as setting up the equation: (1/sqrt(x+h))-(1/sqrt(x))/h. I know the first step is to take the conjugate (which I understand(; though, this is what I seem to keep messing up. I am assuming the arithmetic is what is hindering my progress. Help walking through this on this specific problem would be greatly appreciated. This is not homework, but I want to make sure there are no fraction/radical rules when doing this that I am forgetting. I would like to note that I have searched this problem elsewhere, only to find the part after the conjugate has been taken. However, that is the confusing part to me. Thank you ahead of time, for any help provided.
I got as far as setting up the equation: (1/sqrt(x+h))-(1/sqrt(x))/h. I know the first step is to take the conjugate (which I understand(; though, this is what I seem to keep messing up. I am assuming the arithmetic is what is hindering my progress. Help walking through this on this specific problem would be greatly appreciated. This is not homework, but I want to make sure there are no fraction/radical rules when doing this that I am forgetting. I would like to note that I have searched this problem elsewhere, only to find the part after the conjugate has been taken. However, that is the confusing part to me. Thank you ahead of time, for any help provided.