Home
Class 12
MATHS
tan^(-1)""(1-x)/(1+x)=(1)/(2)tan^(-1)x,(...

`tan^(-1)""(1-x)/(1+x)=(1)/(2)tan^(-1)x,(xgt0)`

A

(a) `-1`

B

(b) `sqrt(3)`

C

(c) `(1)/(sqrt(3))`

D

(d) 1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

cos(tan^(-1)x)=

tan^(-1)""(x)/(y)-tan^(-1)""(x-y)/(x+y)=

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

A solution of equation tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) ""(x+1)/(x+2)=(pi)/(4)

int frac{1}{x^2 + 4x + 8} dx =............... A) tan^(-1) (frac{x+2}{2}) + c B) tan^(-1) (x+2) + c C) (1/4) tan^(-1) (x+2) + c D) (1/2) tan^(-1) (frac{x+2}{2}) + c

If c_j >0 for i=1,2,..., n , prove that tan^(-1)((c_1x-y)/(c_1y+x))+tan^(-1)((c_2-c_1)/(1+c_2c_1))+tan^(-1)((c_3-c_2)/(1+c_3c_2))+...+tan^(-1)(1/(c_n))=tan^(-1)(x/y)

d/(dx)tan^-1((1-x)/(1+x))=