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Numerade Educator

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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$\sqrt{3} \pi$

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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.