Also my tutor and I were trying to use the conjugate rule and we thought we were getting close but no luck.
Using the definition of derivative how do i solve this equation: f(x)=5/square root 3x. Please help....? Ive used the fast short cuts to find this derivative but I cant seem to get how to do it by the definition way and i have a test over definition tomorrow. Please help me. im desperate. My answer that i got not using defintion of -5/2x sqroot3x. My tutor couldnt even figure this one out.
so you can pull the 3 out of the top? I wasnt sure.
From there i would do:
[tex](5)(sqrt x)/sqrt(x+h)(sqrt x)-(5)sqrt(x+h)/sqrt(x+h)(sqrt x) /h
But even here im confused. I try to take an h out to remove the bottom denominator but then how will h approach 0?
sorry if im being confusing. Im just really frustrated because this is really the only concept im not getting and my test is tomorrow..
From here, we have
Now, when we evaluate , we have .
Keep in mind, though that we ignored the term in the original problem.
So we can conclude then that if , then , which is what we would expect when differentiating using the shortcuts.
Does this make sense?