Application of DerivativeHard

Question

Using differentials, find the approximate value of

Options

A.5.02
B.5.01
C.5.03
D.5.04

Solution

=
Let x = 25 and ᐃx = 0.2 such that  f(x) = √x
∴ f′ (x) =
∴ f(x +ᐃx) = f(x) + f′(x). ᐃx
= √x + . ᐃx
× 0.2
= 5 + = 5 + 0.02 = 5.02

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