💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 21 Medium Difficulty

Compute $ \Delta y $ and $ dy $ for the given values of $ x $ and $ dx = \Delta x. $ Then sketch a diagram like Figure 5 showing the line segments with lengths $ dx, dy, $ and $ \Delta y. $
$ y = \sqrt {x -2}, x = 3, \Delta x = 0.8 $

Answer

$d y=0.4$ and $\Delta y \approx 0.34$

Discussion

You must be signed in to discuss.

Video Transcript

Okay, take the derivative. Remember the chan. Roll off one g times G prime. You have one times one over to squirt of X minus two. Okay, this means we're derivative. Simply one over to scored of experts to This is times DX. Therefore, we know the change in X is on the top. We can plug in after three plus 0.8 minus off of three equals the skirt of 1.8 minus one with just 0.34 approximately. You know, this is do you? Why this area like this would be the change in axe.