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x-sqrt(1-|x|)<0...

x-sqrt(1-|x|)<0

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The differential coefficient of tan^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))

The differential coefficient of tan^(- 1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))

tan^(-1)((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))

The derivative of tan^(-1)((sqrt(1 + x)-sqrt(1-x))/(sqrt(1 + x)+sqrt(1-x))) is

d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

Rationalise: (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

Differentiate (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

Solve : (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))

If e^(y)=(sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x))," then "(dy)/(dx)=