Home
Class 12
MATHS
Differentiate sin^(-1)(2xsqrt(1-x^2)) wi...

Differentiate `sin^(-1)(2xsqrt(1-x^2))` with respect to `x` if `1/(sqrt(2)) < x < 1`

Text Solution

AI Generated Solution

To differentiate \( y = \sin^{-1}(2x\sqrt{1-x^2}) \) with respect to \( x \), we can follow these steps: ### Step 1: Define the function Let \[ y = \sin^{-1}(2x\sqrt{1-x^2}). \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Solved Examples|28 Videos

  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Concept Application 3.1|1 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise Matrix Match Type|5 Videos

  • DOT PRODUCT

    CENGAGE ENGLISH|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

Differentiate sin^(-1)(1/(sqrt(1+x^2))) with respect to x

Differentiate sin^(-1)sqrt(1-x^2) with respect to x

Differentiate sin ^(-1) (1/sqrt(1+x^2)) with respect to 'x'

Differentiate sin^(-1){x/(sqrt(x^2+a^2))} with respect to x

Differentiate sin^(-1)(2xsqrt(1-x^2))w i t hr e s p e c ttox ,if -1/(sqrt(2)) < x < 1/(sqrt(2))

Differentiate sin^(-1)((2x)/(1+x^2))

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to tan^(-1)(x/(sqrt(1-x^2))) .

Differentiate sin^(-1){sqrt(1-x^2)},\ 0

Differentiate sin^(-1)sqrt(1-x^2) with respect to cos^(-1)x ,

Differentiate sin^(-1)'(1)/(sqrt(x+1))