Using differentials, find the approximate values of:
find the approximate values of
.
Let y =√x.
Let x =36 and Δx = 1.
As y = √x.
⇒ 
We, know
⇒ 
∴ 
⇒ 
⇒ 
∴ Δy = 0.08
Also,
Δy = f(x+Δx)-f(x)
∴ 
⇒ 0.08 = √37 – 6
⇒ √37 = 6.08
1
Using differentials, find the approximate values of:
find the approximate values of.
Let y =√x.
Let x =36 and Δx = 1.
As y = √x.
⇒
We, know
⇒
∴
⇒
⇒
∴ Δy = 0.08
Also,
Δy = f(x+Δx)-f(x)
∴
⇒ 0.08 = √37 – 6
⇒ √37 = 6.08