Home
Class 12
MATHS
cos^(-1)(2xsqrt(1-x^(2)))...

`cos^(-1)(2xsqrt(1-x^(2)))`

Text Solution

AI Generated Solution

To solve the problem \( y = \cos^{-1}(2x\sqrt{1-x^2}) \), we will differentiate \( y \) with respect to \( x \). ### Step 1: Rewrite the function Let \( y = \cos^{-1}(2x\sqrt{1-x^2}) \). ### Step 2: Differentiate using implicit differentiation To differentiate \( y \), we will use the chain rule. The derivative of \( \cos^{-1}(u) \) is given by: \[ ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Ex. 12 Solved Examples (Differentiate the following w.r.t. x)|4 Videos

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Ex. 14 Solved Examples|1 Videos

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Ex. 10 Solved Examples (Differentiate the following w.r.t. x)|3 Videos

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple Choice Questions|15 Videos

Similar Questions

Explore conceptually related problems

xsqrt(1+2x^(2))

int(1)/(cos^(-1)x.sqrt(1-x^(2)))dx=

Differentiate sin^(-1)(2xsqrt(1-x^(2))) w.r.t. cos^(-1)((1-x^(2))/(1+x^(2))) .

If f(x)=sin^(-1)(2xsqrt(1-x^(2))), x in [-1,1] . Then

The value of x for which 2 sin^(-1)x =sin^(-1)(2xsqrt(1-x^(2))) is

If sin^(-1)(2xsqrt(1-x^(2)))-2 sin^(-1) x=0 then x belongs to the interval

If sin ^(-1) x=(1)/(3) , then evaluate sin ^(-1) (2xsqrt(1-x^(2)))

If 1/sqrt(2) le x le 1 and sin^(-1)(2xsqrt(1-x^(2))) = A + B sin^(-1)x , then (A,B)=

NAVNEET PUBLICATION - MAHARASHTRA BOARD-DIFFERENTIATION-Ex. 11 Solved Examples (Differentiate the following w.r.t. x)
  1. tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2))))

    Text Solution

    |

  2. cos^(-1)(2xsqrt(1-x^(2)))

    Text Solution

    |