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

Differentiate `tan^(-1)sqrt (a-x)/sqrt(a+x), -a < x < a`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following functions with respect to x tan^(-1)((a+...

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  2. Differentiate tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)),\ -1/(sqrt(3))<x/a<1/...

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  3. Differentiate tan^(-1)sqrt (a-x)/sqrt(a+x), -a < x < a

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  4. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2]) and 0 < x < 1, then find...

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  5. differentiate xtany=80

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  6. If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -...

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  7. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with ...

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  8. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with ...

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  9. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with ...

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  10. Differentiate sinxtanx with respect to x

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  11. Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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  12. Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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  13. Evaluateint(x+e^x)\dx

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  14. If y=sin^(-1)x+sin^(-1)sqrt(1-x^2) , find (dy)/(dx) in each of the fol...

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  15. Differentiate cos^(-1){2xsqrt(1-x^2)},1/(sqrt(2))

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  16. Differentiate ytanx=tany with respect to x

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  17. Differentiate sinxsiny=x with respect to x

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

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  19. Differentiate sin2x = sin2y with respect to x

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  20. Differentiate sin^(-1){x/(sqrt(x^2+a^2))} with respect to x

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