Problem

(a) Find the differential $ dy $ and (b) evaluate…

00:42

Problem 16 Easy Difficulty

(a) Find the differential $ dy $ and (b) evaluate $ dy $ for the given values of $ x $ and $ dx. $
$ y = \cos \pi x, x = \frac {1}{3}, dx = -0.02 $

Answer

(a) $d y=-\pi \sin (\pi x) d x$
(b) 0.01$\sqrt{3} \pi$

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 after Texas coastline next there for of products is negative. Sign X Therefore of G of x is pi acts this part over here then g prime of X is pi therefore are y prime would be negative pi sign pi x Okay, Part B plug and negative pi sign high over three times negative 0.2 It's in the last 20.1 square root of three times pi.

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

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor