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(a) Find the differential $dy$ and (b) evaluate $dy$ for the given values of $x$ and $dx.$$y = \frac {x + 1}{x - 1}, x = 2, dx = 0.05$

(a) $\frac{-2}{(x-1)^{2}} d x$(b) $-0.1$

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Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Samuel H.

University of Nottingham

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Video Transcript

okay, Part A. We know that we can do the question role so one times X minus one minus X plus one times one over the denominator squared. Remember the formulas F one G minus After you won over G squared The simple question negative, too. Over X minus one squared and then we can write a D ax. After this. Maybe wanting to part B. We have negative two over two minus one squared times 0.5 gives us t y equals negative 0.1.

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Samuel H.

University of Nottingham

Lectures

Join Bootcamp