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Differentiate logsinx with respect to sq...

Differentiate `logsinx` with respect to `sqrt(cosx)` .

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If x=3sint-sin3t ,y=3cos t-cos3t ,"f i n d"(dy)/(dx)"a t"t=pi/3dot

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  2. If sinx=(2t)/(1+t^2) , tany=(2t)/(1-t^2) , find (dy)/(dx) .

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  3. Differentiate logsinx with respect to sqrt(cosx) .

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  4. Differentiate tan^(-1)((1+2x)/(1-2x))w i t hr e s p e c ttosqrt(1+4x^2...

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

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

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  7. Differentiate x^x with respect to xlogx .

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  8. Differentiate tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x...

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  9. Differentiate x^(sin^(-1)x) with respect to sin^(-1)x .

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  10. If x in (1/(sqrt(2)),\ 1) , differentiate tan^(-1)((sqrt(1-x^2))/x) wi...

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

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

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

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  14. If -1/(sqrt(3))<x<1/(sqrt(3)) , differentiate tan^(-1)((3x-x^3)/(1-3x^...

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  15. Differentiate x^2 with respect to x^3 .

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  16. Differentiate log(1+x^2) with respect to tan^(-1)x .

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  17. Differentiate (logx)^x with respect to logx .

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  18. Differentiate sin^(-1)sqrt(1-x^2) with respect to x

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  19. Find dy/dx if y=(x-1)^(1/2)

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  20. Differentiate sin^(-1)sqrt(1-x^2) with respect to cos^(-1)x ,

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