Using differentials, find the approximate value of each of the following up to 3 places of decimal.

Question

Philoid · Accepted Answer

Consider y = .

Let x = 1 and Δx = -0.4. Then, we get

= √0.6-1

= √0.6 = Δy + 1

Now, dy is approximately equal to Δy and is given by:

= -0.2

Therefore, the approximate value of is 0.8.