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# Find the linearization $L(x)$ of the function at $a.$$f(x) = \sqrt x, a = 4$

## $L(x)=\frac{1}{4} x+1$

Derivatives

Differentiation

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

if f of X escort of X then after four equals the skirt of four, which is to therefore f prime of four. F Prime of X is one over to squirt of acts that it's one of her too squared before, which gives us 1/4 glue. The linear realization is gonna be two plus 14 times x minus for which is gonna be 1/4 x plus one.

#### Topics

Derivatives

Differentiation

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp