If y=x^n , then the ratio of relative er...

If `y=x^n ,` then the ratio of relative errors in `ya n dx` is `1:1` (b) 2:1 (c) 1:n (d) n:1

A

`1:1`

B

`2:1`

C

`1:n`

D

`n:1`

Verified by Experts

The correct Answer is:

D

DIFFERENTIALS, ERRORS AND APPROXIMATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|15 Videos
DIFFERENTIAL EQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
DIFFERENTIATION
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If y=x^n , then the ratio of relative errors in y and x is (a) 1:1 (b) 2:1 (c) 1:n (d) n:1

The sum of first n odd natural numbers is 2n-1 (b) 2n+1 (c) n^2 (d) n^2-1

If f(x+y)=f(x)+f(y)-x y-1AAx , y in Ra n df(1)=1, then the number of solution of f(n)=n , n in N , is 0 (b) 1 (c) 2 (d) more than 2

The arithmetic mean of 1,2,3,...n is (a) (n+1)/2 (b) (n-1)/2 (c) n/2 (d) n/2+1

If n is not a multiple of 3, then the coefficient of x^n in the expansion of log_e (1+x+x^2) is : (A) 1/n (B) 2/n (C) -1/n (D) -2/n

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If y=x^(n-1)lnx then x^2y_2+(3-2n)x y_1 is equal to (a) -(n-1)^2y (b) (n-1)^2y (c) -n^2y (d) n^2y

If |x|<1, then the coefficient of x^n in expansion of (1+x+x^2+x^3+)^2 is a. n b. n-1 c. n+2 d. n+1