Problem

Find the linearization $ L(x) $ of the function a…

00:33

Problem 3 Easy Difficulty

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

Answer

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

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Discussion

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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.

Amrita B.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

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