<p>Hey can someone clarify this for me? I think I'm getting it wrong... from what I understand, given a case where a function is divided by the function, you differentiate the function and then sub the number x approaches into the answer you get from differentiation? Then how come it doesn't work most of the times I try to do it.. what conditions are there to applying it?</p>
<p>Don’t differentiate by u/v rule</p>
<p>Just differentiate the numerator and denominator separately</p>
<p>What do you mean by separately? Like just find deriv of the top then find deriv of the bottom? Then what do you do??? I’m confused lol</p>
<p>Yeah, derivitive of the top,then the bottom. No quotient rule or anything.</p>
<p>so you only use that method when the limit isn’t following the basic [f(x+h)-f(x)]/[h] form right?</p>
<p>^No, you use it when direct substitution yields something like 0/0 or 3/0 or infinity/infinity (indeterminate form). The long way of differentiating (the one you listed) is rarely ever used after you learn it (much like the long way of integration is virtually ignored after you test on it).</p>
<p>Ahh ok, I just tried it out and found it a lot easier. I was kind of confused trying to do it using [f(x+h)-f(x)]/[h] form since some limits weren’t written that way…and we didn’t learn that method u said, in calc class yet.</p>
<p>thanks a lot man.</p>