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 = 4 and Δx = -0.032. Then, we get

Δy =

=

⇒ = Δy + 8

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

dy =

= 3(-0.032)

= -0.096

Therefore, the approximate value of is 7.904.