Problem

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

00:46

Problem 1 Easy Difficulty

Find the linearization $ L(x) $ of the function at $ a. $
$ f(x) = x^3 - x^2 + 3, a = -2 $

Answer

$L(x)=16 x+23$

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Discussion

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Video Transcript

Okay, We know L A box is half of a post up prime of eight times X minus a. They're for UVA is negative. Eight, that is, four plus three equals negative. Nine. A primal X is three x squared, minus two acts. They're for a problem. Negative to plugging that in three times. Four months, two times negative to a 16. Therefore, L A box is negative. Nine was 16 times exposed to. Therefore, this simplifies to 16 acts close 23.

Amrita B.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

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