Question

Using diffrential , find the approximation value of √49.5 upto 3 places of decimal. ​

Answer 1

Hi !

Solution :- √49.5

consider f(x) = √x => f'(X) = 1/2•x

let , X = 49 and ∆x ,= 0.5

now, f(x+∆x) ,=f(x) + ∆xf'(X)

°•° √x+∆x = √x+1/2√x ∆x

=> √49.5 = √49+0.5/√2√49= 7+05/140

= 7+0.036

=>√49.5=7.036

Hope it's helpful

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Answer 2

Answer:

refer to this attachment ✅✅