Home
Class 12
MATHS
Derivative of y=sec^-1(1/(2x^2-1)) is...

Derivative of `y=sec^-1(1/(2x^2-1))` is

A

`(dy)/(dx) = (sqrt(1 - x^2))/(2) , x != +- 1`

B

`(dy)/(dx) = (-2)/(sqrt(1 - x^2)) , x != +- 1`

C

`(dy)/(dx) = (2)/(sqrt(1 - x^2)) , x != +- 1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The derivative of sec^(-1)(1/(2x^2+1)) with respect to sqrt(1+3x) at x=-1//3

The derivative of f(x)=x^(tan^-1 x) with respect to g(x)=sec^-1(1/(2x^2-1)) is

The differential coefficient of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) is

Differential coefficient of sec^-1(1/(2x^2-1)) w.r.t. sqrt(1-x^2) at x=1/2 is

The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1)(x) is

The derivative of cos^(-1) (2 x^2 -1) w.r.t. cos^(-1) x is ........... A) 2 B) -2 C) 0 D) 1

The derivative of cos^(-1)((1-x^2)/(1+x^2)) w.r.t. cot^(-1)((1-3x^3)/(3x-x^2)) = .......

The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)((2xsqrt(1-x^2))/(1-2x^2)) at x=0 is

Using derivative prove: sec^-1 x + cosec^-1 x=pi/2 , for |x|ge1 .