Problem

Find the linear approximation of the function $ f…

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Problem 4 Easy Difficulty

Find the linearization $ L(x) $ of the function at $ a. $
$ f(x) = 2^x, a = 0 $

Name: find the linearization lx of the function at a fx 2x a 0
Uploaded: 2019-10-28
Duration: 33 s
Channel: Numerade
Description: Find the linearization $ L(x) $ of the function at $ a. $ $ f(x) = 2^x, a = 0 $

Answer

$L(x)=x \ln 2+1$

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Discussion

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Rachel S.

July 23, 2021

how do you know to use ln in this question?

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Problem 19

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Video Transcript

we know after a is to to the zeroth power. Anything to use your powers. One a form of axe is gonna be to To the Axe Island to therefore off front of zero is gonna be one times Alan to therefore l a box is gonna be one plus, Ellen two times x minus here, which is the same as Ex Ellen too. Plus one.

Amrita B.

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Problem

Find the linear approximation of the function $ f…

Problem 4 Easy Difficulty

Find the linearization $ L(x) $ of the function at $ a. $
$ f(x) = 2^x, a = 0 $

Answer

$L(x)=x \ln 2+1$

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Kristen K.

Samuel H.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Kristen K.

Samuel H.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Problem

Find the linear approximation of the function $ f…

Problem 4 Easy Difficulty

Find the linearization $ L(x) $ of the function at $ a. $$ f(x) = 2^x, a = 0 $

Answer

$L(x)=x \ln 2+1$

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Kristen K.

Samuel H.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Grace H.

Catherine R.

Kristen K.

Samuel H.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Find the linearization $ L(x) $ of the function at $ a. $
$ f(x) = 2^x, a = 0 $