Problem

Use a linear approximation (or differentials) to …

02:44

Problem 27 Easy Difficulty

Use a linear approximation (or differentials) to estimate the given number.
$ e^{0.1} $

Answer

$e^{0,1} \approx 1,1$

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Discussion

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Video Transcript

we know that affects is eating the axe. Therefore, F Prime of X is actually the same thing. He has special properties, therefore de wise either the X tax therefore plugging in. We have off of zero plus. So d A y is either the zero times 0.1, which is one times you're always just 0.1. It's now we can add that back in. This is one post your 10.1 which gives us 1.1.

Amrita B.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College