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# Find an equation of the tangent line to the curve at the given point.$y = x + \frac{2}{x} , (2,3)$

## $$y-3=\frac{1}{2}(x-2) \text { or } y=\frac{1}{2} x+2$$

Derivatives

Differentiation

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

he has Claire's suing you. Read here. So we're first gonna find our slope, That is. Do you? Why? Over DX for access equal to a This is equal to when we plug it in X plus two x to the negative one. Power for access equal to two. And this gives 1/2 the line equation is why minus three is equal to one Have X minus two. So we have why is equal to one have X plus two.

#### Topics

Derivatives

Differentiation

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp