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Differentiate the following function ...

Differentiate the following function with respect to `x :` `tan^(-1){(sqrt(1+a^2x^2)-1)/(a x)},x!=0`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate tan^(-1)((2a^x)/(1-a^(2x))), agt1,-ooltxlt0 with respect...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Differentiate tan^(-1){(x^(1//3)+a^(1//3))/(1-(a x)^(1//3))} with resp...

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  17. Differentiate sin^(-1)((2^(x+1))/(1+4^x)) with respect to x

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  18. If y=sin^(-1)((2x)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)) , prove that (dy...

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  19. If y=sin^(-1)(x/(sqrt(1+x^2)))+cos^(-1)(1/(sqrt(1+x^2))) , prove that ...

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  20. Differentiate cos^(-1)(sinx) with respect to x :

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