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

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

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If x= sqrt3/2 , then the value of (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) is equal to: यदि x= sqrt3/2 , (sqrt(1+x)+ sqrt(1-x))/(sqrt(1+x)- sqrt(1-x)) का मान ज्ञात करें :

If x=sqrt3/2 then sqrt(1+x)/(1+sqrt(1+x))+sqrt(1-x)/(1-sqrt(1-x))=

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

d/(dx){Cot^(-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