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Differentiate the following function with respect to `x :` `sin^(-1){(x+sqrt(1-x^2))/(sqrt(2))}`,`-1 lt x lt1`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate tan^(-1){x/(1+sqrt(1-x^2))},\ -1<x<1 with respect to x

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  2. Differentiate tan^(-1){x/(a+sqrt(a^2-x^2))},\ -a<x<a with respect to x

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  3. Differentiate the following function with respect to x : sin^(-1){(...

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  4. Differentiate cos^(-1){2xsqrt(1-x^2)},\ \ 1/(sqrt(2))<x<1 with respect...

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  5. Differentiate tan^(-1){(4x)/(1-4x^2)},\ -1/2<x<1/2 with respect to x

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  6. Differentiate tan^(-1){(2^(x+1))/(1-4^x)} , -oo < x < 0 with respect ...

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  7. Differentiate tan^(-1)((2a^x)/(1-a^(2x))), agt1,-ooltxlt0 with respect...

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  8. Differentiate sin^(-1){(sqrt(1+x)+sqrt(1-x))/2},\ \ 0<x<1 with respect...

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  9. Differentiate the following function with respect to x : tan^(-1){...

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  10. Differentiate tan^(-1){ (sinx) / (1+cosx) } with respect to x

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

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  12. sin ^-1((1-x^(2))/(1+x^2)) (ii) cos^-1((1-x^(2n))/(1+x^(2n)))

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  13. Differentiate sin^(-1)((1-x^2)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),\ \ ...

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  14. Differentiate tan^(-1)((a+x)/(1-a x)) with respect to x

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  15. Differentiate tan^(-1)((sqrt(x)+sqrt(a))/(1-sqrt(x a))) with respect t...

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  16. Differentiate the following function with respect to x : tan^(-1)(...

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  17. Differentiate tan^(-1)((a+b x)/(b-a x)) with respect to x .

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  18. Differentiate tan^(-1)((x-a)/(x+a)) with respect to x

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  19. Differentiate tan^(-1)(x/(1+6\ x^2)) with respect to x

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  20. Differentiate tan^(-1){(5x)/(1-6\ x^2)}, -1/(sqrt(6))ltxlt1/ (sqrt(6))...

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