Q4 of 292 Page 469

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


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