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Math 181 Miniproject 3: Texting Lesson.md
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My lesson Topic
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What is Local Linerization?

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Local Linerization is the generalization of tangent plane functions; one that can apply to multivariable functions with any number of inputs. You are just finding an equation for a tangent line.

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Okay. 

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Then what would be: Find the local linerization for $f(x)=1/x$ given that $f'(x)=-1/2^2$ at the point x=2.

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What is needed is: $f(x)=1/x, f'(x)=-1/x^2$ at x=2. It does not matter the word problem as long as you can figure out the $f(x)$ and then the $f'(x)$ and identify at what point.

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Makes sense.....but how do I do it?

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You will need the formula $L(x)= f(x)+f'(x)(x-x_1)$ The L stands for Local Linerization.

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So then it should be L(x)=f(2)f'(2)(x-2)

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Yes that is right. The next step would be to plug in the equations. ****There should only be one x once everything is filled in****

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$f(x)=1/2+(-1/2^2)(x-2)$ 
=$1/2+(-1/4)(x-2)$
Is that it??? Or did I miss something
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Yep that is it since all you needed to do was find that equation for the point x=2.

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