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Numerade Educator



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 $


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


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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.