Home
Class 12
MATHS
Differentiate cos^(-1)((1-x^(2))/(1+x^(2...

Differentiate `cos^(-1)((1-x^(2))/(1+x^(2)))` with respect to `tan^(-1)((3x-x^(3))/(1-3x^(2))).`

Text Solution

AI Generated Solution

To differentiate \( \cos^{-1}\left(\frac{1-x^2}{1+x^2}\right) \) with respect to \( \tan^{-1}\left(\frac{3x-x^3}{1-3x^2}\right) \), we can follow these steps: ### Step 1: Define the Functions Let: - \( A = \cos^{-1}\left(\frac{1-x^2}{1+x^2}\right) \) - \( B = \tan^{-1}\left(\frac{3x-x^3}{1-3x^2}\right) \) ### Step 2: Use the Chain Rule ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10I|51 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10G|8 Videos

  • DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE

    RS AGGARWAL|Exercise Exercise 19B|60 Videos

  • FUNCTIONS

    RS AGGARWAL|Exercise Exercise 2D|11 Videos

Similar Questions

Explore conceptually related problems

Differentiate cos^(-1)((2x)/(1+x^(2))),-1

Differentiate cos^(-1)((1-x^(2))/(1+x^(2))),0

Differentiate tan^(-1)sqrt((1-x^(2))/(1+x^(2))) with respect to cos^(-1)x^(2).

If -1/(sqrt(3))

Differentiate cos^(-1)((1-x^(2))/(1+x^(2))) with respect to x, when x in(-oo,0)

Differentiate cos^(-1)((1-x^(2))/(1+x^(2))) with respect to x, when x in(0,oo)

Differentiate tan^(-1)((2x)/(1-x^(2))) with respect to cos^(-1)((1-x^(2))/(1+x^(2))), if ^(@)0

Differentiate x^(x cos x)+(x^(2)+1)/(x^(2)-1) with respect to x:

Differentiate sin^(-1)((2x)/(1+x^(2))) with respect to cos^(-1)((1-x^(2))/(1+x^(2))), if 0

Differentiate cos^(-1)(1-2x^(2)) with respect to x, if '-1