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Differentiate tan^(-1)((sqrt(x)+sqrt(a))...

Differentiate `tan^(-1)((sqrt(x)+sqrt(a))/(1-sqrt(x a)))` with respect to `x`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate sin^(-1)((1-x^2)/(1+x^2))+sec^(-1)((1+x^2)/(1-x^2)),\ \ ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Differentiate cot^(-1)((1-x)/(1+x)) with respect to x .

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  16. If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]...

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  17. If y=tan^(-1)((2x)/(1-x^2))+sec^(-1)((1+x^2)/(1-x^2)) , x >0 , prove t...

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  18. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x > 0. Find (dy)/(dx)...

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  19. If y=sin[2tan^(-1){sqrt((1-x)/(1+x))}],find(dy)/(dx)

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  20. If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2),\ \ \ x \ \ is \ [0,1/2] , fi...

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