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title: What's Your Point Tangent?

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Math 181 Miniproject 3: Texting Lesson.md
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What's Your Point Tangent?
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<div><img class="left"/><div class="alert gray">

Hello! I need help finding the tangent line of a given point, do you think that you could show me an example? 

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

Absolutely! When prompted with the following, what is the first thing you would do? 
![](https://i.imgur.com/fNuYSIr.png)



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


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

First I would start by determining the point of value and the slope of the given function. 

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</div></div> 

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

That's correct! In order to find the tangent line we need to first find the point and the slope. To calculate the slope, you first need to determine the point.

***1) Plug in the value given for x, and then immerse it into original equation in order to get the point.***
![](https://i.imgur.com/QGGxidu.png)
***2) Calculate the slope.***
![](https://i.imgur.com/eh5qBrV.png)




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

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

Ok, and all of this is just to answer problem A, correct?
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<div><div class="alert blue">

Yes sir, and from there you will be able to just plug in the values into an equation like:

![](https://i.imgur.com/WQVclIV.png)

To answer part b, you simply need to input the approximate value given into the original equation's format.

![](https://i.imgur.com/whWQI8u.png)



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

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

Oh awesome! Thank you so much, this really helped!

</div></div> 





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