If y = x n , then the ratio of relative errors in y and x is

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. 1 : 1
2. 2 : 1
3. 1 : n
4. n : 1

Answer

(D) n : 1

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• _ x 0 x^ 2 ( 1 x ) x is equal to ____
• If f( x )= a ^ a ^ | x | sgn x ; g( x )= a ^ [ a ^ | x | sgn x ] for a > 1 and x ∈ R, where & [ ] denote the…
• If y= _ u(x) ^ v(x) f(t) d t let us define d y d x in a different manner as d y d x =v^ (x) f^ 2 (v(x))-u^…
• If a_ n n+1 + a_ 1 n + a_ 2 n-1 + + a_ n-1 2 +a_ n =0 where a_ n , a_ 1 , a_ 2 , a_ n-1 , a_ n R , then the…
• The length of the longest interval, in which the function 3 sin x – 4 sin 3 x is increasing, is
• If y = f (x) φ (x) , then dy dx is
• The set of values of 'a' for which the function f(x)=x^ 2 +a x+1 is an increasing function on [1,2] are :
• The minimum value of x ^ 2 + 1 1+ x ^ 2 is at:

More Limit, Continuity and Differentiability questions · Browse all practice questions