Home
Class 12
MATHS
Differentiate tan^(-1)((sqrt(1-x^(2)))/(...

Differentiate `tan^(-1)((sqrt(1-x^(2)))/(x))` w.r.t. `cos^(-1)(2xsqrt(1-x^(2))),` when `x ne0.`

Text Solution

Verified by Experts

Put `x=cos theta.`
Doubtnut Promotions Banner Mobile Dark
|

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 tan^(-1)((sqrt(1+x^(2))+1)/(x)) w.r.t. x.

If x in((1)/(sqrt2)1). Differentiate tan^(-1)(sqrt(1-x^(2))/(x)) w.r. t. cos^(-1)(2xsqrt(1-x^(2))).

Differentiate tan^(-1)((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1)x.

Differentiate tan^(-1){(sqrt(1+x^(2))-1)/(x)} w.r.t. x.

Differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) with respect to cos^(-1)(2x sqrt(1-x^(2))), when x!=0

differentiate tan^(-1)((1)/(sqrt(x^(2)-1)))

Differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) wrt cos^(-1)(2x sqrt(1-x^(2))) if x varepsilon((1)/(sqrt(2)),1)

Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t. tan^(-1)x

If x in((1)/(sqrt(2)),1), differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) with respect to cos^(-1)(2x sqrt(1-x^(2)))

Differentiate tan^(-1)((sqrt(1+x^(2))+1)/(x))" w.r.t. "tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2))) at x = 0.