Problem

Use a linear approximation (or differentials) to …

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Problem 23 Easy Difficulty

Use a linear approximation (or differentials) to estimate the given number.
$ (1,999)^4 $

Answer

$(1.999)^{4} \approx 15.968$

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

okay, we know if Alexis X to the fourth. Therefore, the change in X, or Delta X is negative 0.1 Access to their fur off of two minus 0.1 to the fourth. Power is to to the fourth time's one minus four come 0.1 over two, which is equivalent to 15.968

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

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Michael J.

Idaho State University