Q3 of 292 Page 469

Using differentials, find the approximate values of:

Find the approximate values of


Let y =√x.


Let x =25 and Δx = 2.


As y = √x.


⇒


We, know


⇒


∴


⇒


⇒


∴ Δy = 0.2


Also,


Δy = f(x+Δx)-f(x)


∴


⇒ 0.2 = √27 – 5


⇒ √27 = 5.2


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