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 = 27 and Δx = -1. Then, we get

Δy = (x+∆x)^1/3 - (x)^1/3

= (26)^1/3 - 3

= (26)^1/3 = Δy + 3

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

=

Therefore, the approximate value of is 2.9629.