I am in introductory to derivatives and need to solve this but having a hard time simplifying. I wrote this as the limit as delta x approaches zero of : [(-1/sqrt2(x+deltax)) +2(x+deltax)] - [(-1/2x) +2x] all over delta x.
I have tried simplify one side of the numerator first, [f(x+deltax)] by finding an LCD and then doing the same for the other side [f(x)]. And then again to combine the two sides of the numerator into one but its a huuuuge mess and I feel there must be an easier way to do things. I don't know what to do at this point. I think if I can get someone to explain to me even the first couple steps in detail I will get the point and be able to finish up. I am aware of multiplying by conjugates to rid of square roots but that is only for 2 terms which doesn't seem to be the case in this question to start out with anyways. Please help...thanks