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Math 181 Miniproject 3: Texting Lesson.md
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My lesson Topic
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h1 { 
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<i class="fa fa-envelope fa-2x"></i>
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<div><img class="left"/><div class="alert gray">
Hey on the exam I got number 2 wrong 😭.Did you get it right if so can you help me? Its the question using the limit definition of derivative.



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<div><div class="alert blue">
Yeah!😅 I can help you so for part a.) all what was being asked is what is the limit definition of the derivative f'(x) of a function f(x). Basically the question was asking dor the formula.Do you rememeber what it is?

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<div><img class="left"/><div class="alert gray">
I think I remember.
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<div><img class="left"/><div class="alert gray">

is it  $lim_{h→0}\
\frac{f\left(x-h\right)+f\left(x\right)}{h}$ ?

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

No not quite you have you signs mixed up the limit defination of the derivative is $lim_{h→0}\
\frac{f\left(x+h\right)-f\left(x\right)}{h}$. Here lets try an example: $f(x)=x^2-2x$

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

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

Oh okay so for part b.) do we plug in the function $x^2-2x$ into $lim_{h→0}\
\frac{f\left(x+h\right)-f\left(x\right)}{h}$


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

Like this $lim_{h→0}\
\frac{f\left(x^2-2x+h\right)-f\left(x^2-2x\right)}{h}$ ?😕


</div></div> 
<div><div class="alert blue">
No you want to plug in (x+h) in to the function.Let me show you how to do the problem: 

![](https://i.imgur.com/hKoqoSE.jpg)




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

Here's how to do a problem like number 2 on the exam.This looks like a lot,but I organized it in color and steps to make it easier for you.

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

Omg‼️ Thank you this is helpful let me try to do one on my own.😅

</div></div> 
<div><div class="alert blue">
No problem just text me if you have any questions .

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