Using differentials, find the approximate value of `(82)^(1/4)` upto 3 places of decimal .

Explanation

Let `y=x^{1/4}`

and `x=81`

`x+trianglex=82`

`impliestrianglex=1`

For `x=81,`

`y=(81)^{1/4}=3`

Let `dx=trianglex=1`

As`y=x^{1/4}`,

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