If $y = {x^n},$ then the ratio of relative errors in $y$ and $x$ is

JEE MATHEMATICS MCQ: ERRORS & APPROXIMATION

1 Easy

1 of 1

Application +4 | -1

y = {x^n},

then the ratio of relative errors in

y

and

x

View answer and explanation

Correct option: D

n:1

Option D (

n:1

) is correct because the relative error in

y

n

times the relative error in

x

, as derived from logarithmic differentiation.

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