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onegirl
 one year ago
Best ResponseYou've already chosen the best response.0@zepdrix hi can u help for a minute i know how to do this since you showed me yesterday how..but i'm stuck on something, so can u help?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1sup? c: what part confusing you?

onegirl
 one year ago
Best ResponseYou've already chosen the best response.0okay so i tried doing this one here is what i got so far i found the derivative of 3e^x and i got d/dx (3e^x) = 3(d/dx (e^x)) = 3e^x so now I filled in the 1 into 3e^x and I got 3e so i want to put it into y=mx + b and i got stuck there

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yah it's a weird looking number, so I can see how it's a little confusing. So you calculated the slope, \(\large m\). \(\large m=3e \qquad \rightarrow \qquad y=(3e)x+b\)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1To solve for \(\large b\) remember that we needed a coordinate pair that we could plug into this. Where can we get a coordinate pair from? :o

onegirl
 one year ago
Best ResponseYou've already chosen the best response.0hmmm 1 in the original question that would be our x and for y we would put 1 into 3e^x

onegirl
 one year ago
Best ResponseYou've already chosen the best response.0okay so our coordiantes will be (1, 3e) ? since when you plug in 1 into 3e^1 you get 3e

onegirl
 one year ago
Best ResponseYou've already chosen the best response.0wait i meant 1 = 3e(1) + b

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge \left(\color{orangered}{x},\;\color{royalblue}{y}\right) \qquad = \qquad \left(\color{orangered}{1},\;\color{royalblue}{3e}\right)\]Plug those into here,\[\huge \color{royalblue}{y}=(3e)\color{orangered}{x}+b\] You didn't quite get them plugged in correctly. Maybe the colors will help you match them up.

onegirl
 one year ago
Best ResponseYou've already chosen the best response.0okay then i solve for be and i'm done right?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yes, solve for b. Then rewrite your final equatoin with y, x, m and b. Good job c:

onegirl
 one year ago
Best ResponseYou've already chosen the best response.0so i fot 3e = 3e(1) + 0

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1yes, but you want to write it as an equation involving x and y. We no longer want the coordinate pair plugged in for our final answer.

onegirl
 one year ago
Best ResponseYou've already chosen the best response.0ok how would i do that?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Remember we were trying to come up with an equation for the tangent line. It will be of the form \(\large y=mx+b\). We ONLY want to fill in the missing \(\large m\) and \(\large b\). We had plugged in our coordinate pair to help us find \(\large b\), but now we don't need that coordinate pair.
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