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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
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University of Nottingham
Lectures
03:09
In mathematics, precalculu…
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In mathematics, a function…
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(a) Find the differential …
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Find dy/dx for the followi…
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Calculating derivatives Fi…
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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…
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