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(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 $

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

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 10

Linear Approximation and Differentials

Derivatives

Differentiation

Missouri State University

Campbell University

Oregon State University

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:42

(a) Find the differential …

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0:00

00:32

Find dy/dx for the followi…

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00:09

02:18

04:16

Calculating derivatives Fi…

02:19

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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.

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

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

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Calculating derivatives Find dy/dx for the following functions.$y=\frac{…

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