Math 181 Miniproject 3: Texting Lesson.md
---
My lesson Topic
===

<style>
body {
background-color: #eeeeee;
}

h1 {
color: maroon;
margin-left: 40px;
}

.gray {
margin-left: 50px ;
margin-right: 29%;
font-weight: 500;
color: #000000;
background-color: #cccccc;
border-color: #aaaaaa;
}

.blue {
display: inline-block;
margin-left: 29% ;
margin-right: 0%;
width: -webkit-calc(70% - 50px);
width: -moz-calc(70% - 50px);
width: calc(70% - 50px);
font-weight: 500;
color: #fff;
border-color: #336699;
background-color: #337799;
}

.left {
content:url("https://i.imgur.com/rUsxo7j.png");
width:50px;
border-radius: 50%;
float:left;
}
.right{
content:url("https://i.imgur.com/5ALcyl3.png"); width:50px;
border-radius: 50%;
display: inline-block;
vertical-align:top;
}
</style>

<div id="container" style=" padding: 6px;
color: #fff;
border-color: #336699;
background-color: #337799;
display: flex;
justify-content: space-between;
margin-bottom:3px;">
<div>
<i class="fa fa-envelope fa-2x"></i>
</div>
<div>
<i class="fa fa-camera fa-2x"></i>
</div>

<div>
<i class="fa fa-comments fa-2x"></i>
</div>
<div>
<i class="fa fa-address-card fa-2x" aria-hidden="true"></i>
</div>
<div>
<i class="fa fa-phone fa-2x" aria-hidden="true"></i>
</div>
<div>
<i class="fa fa-list-ul fa-2x" aria-hidden="true"></i>
</div>
<div>
<i class="fa fa-user-plus fa-2x" aria-hidden="true"></i>
</div>
</div>

<div><img class="left"/><div class="alert gray">

Can you help me out with this problem,I dont know what to do and I'm lost.
</div></div>

<div><div class="alert blue">

Which problem are you talking about?

</div><img class="right"/></div>

<div><img class="left"/><div class="alert gray">
f(x)=6x^2-8x, and find the exact formula for f'(x)

</div></div>

<div>

<div><div class="alert blue">
Ok first we need to set it to f(x+h)-f(x)/h
6{x+h}^2=8{x+h}-{6x^2-8x}/h, then foil it

</div><img class="right"/></div>

<div><img class="left"/><div class="alert gray">

Would it be like this, (6x^2 +12xh+6h^2)- (8x+8h)-6x^2-8x/h

</div></div>

<div><div class="alert blue">

DONT FORGET to put lim h->0,every time, also cancel out. You should end up with =lim h->0 12xh+6h^2+8h

</div><img class="right"/></div>

<div><img class="left"/><div class="alert gray">

Okay thanks for letting me know, and I got that what next
</div></div>

<div><div class="alert blue">

you can take out an h

</div><img class="right"/></div>

<div><img class="left"/><div class="alert gray">

like this right, =lim h->0 h(12x+6h+8)/h

</div></div>

<div><div class="alert blue">

yeah, now you should be left with =lim h->0 12x+6h+8, now you can plug in the zero into the formula

</div><img class="right"/></div>

<div><img class="left"/><div class="alert gray">
so 12x+6(0)+8

</div></div>

<div><div class="alert blue">
yep now what did you get?

</div><img class="right"/></div>

<div><img class="left"/><div class="alert gray">
12x+8 is what I got

</div></div>

<div><div class="alert blue">
Ay lets go, you got it congrats