Using differentials, find the approximate values of:
Find the approximate values of
Let y =√x.
Let x =0.25 and Δx = -0.01.
As y = √x.
⇒
We, know
∴
∴ Δy = -0.01
Also,
Δy = f(x+Δx)-f(x)
⇒ -0.01 = √0.24 – 0.5
⇒ √0.24 = 0.49