Using differentials, find the approximate value of each of the following up to 3 places of decimal.
Consider y = √x.
Let x = 25 and Δx = 0.3. Then, we get
Δy = √25.3 - √25
Δy = √25.3 – 5
Δy = √25.3 = Δy + 5
Now, dy is approximately equal to Δy and is given by:
= 0.03
Therefore, the approximate value of is 5.03.