<p>alright so i was doing the practice BC multiple choice questions from the course description and it said the answer to number 6 is E. would someone please care to explain why? thanks!!</p>
<p>it should be on page 34...the one about the limit of the integral as h approaches 0.</p>
<p>Its the limit definition of a derivitive</p>
<h1>6 has nothing to do with integrals, are you reading the correct question/answer?</h1>
<p>it does, ur probably lookin at the AB multiple choice instead of the BC one</p>
<p>ecartman, i'm talking about #6 of the bc section. it's on the pdf's page 40 and the printed page 34</p>
<p>OHHH!!! thanks xylem!! i see now. if you expand the integral it IS the definition of the derivative!! thanksss!!!</p>
<p>I'll explain it step by step.
First, the integral of F'(x) from a to a+h= F(a+h)-F(a)
because F without the ' is the integral, remember?</p>
<p>then when you divide by h like it says to you get (F(a+h)-F(a))/h
and then when you take the limit as h approaches zero you get back the derivative at point a. You should probably recognize this as newton's difference quotience. Therefore the answer would be F'(a)</p>
<p>Okay, nvm, you already got it. lol.</p>
<p>thanks anyway!!</p>