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Find (dy/dx) in the following y=tan ^(-1...

Find `(dy/dx)` in the following `y=tan ^(-1)((3 x-x^3)/(1-3 x^2))`

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V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find (dy/dx) in the following sin ^2 x+cos ^2 y=1

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  2. Find dy/dx of the following y=sin^(-1)((2x)/(1+x^2))

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  3. Find (dy/dx) in the following y=tan ^(-1)((3 x-x^3)/(1-3 x^2))

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  4. Find (dy/dx) in the following y=cos ^(-1)((1-x^2)/(1+x^2))

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  5. Find dy/dx of the following y=sin^(-1)((1-x^2)/(1+x^2))

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  6. Find (dy/dx) in the following. y=cos ^(-1)((2 x)/(1+x^2))

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  7. Find (dy/dx) in the following y=sin ^(-1)(2 x sqrt(1-x^2))

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  8. Find dy/dx of the following y=sec^(-1)((1)/(2x^2-1))

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  9. Differentiate the following w.r.t. X: (i) e^-x (ii) sin (log (x) , x...

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  10. Differentiate the following w.r.t.x e^x/sinx

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  11. Differentiate the following w.r.t.x e^(sin^-1x)

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  12. Differentiate the following w.r.t x. e^(x^3)

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  13. Differentiate the following w.r.t. x sin (tan ^(-1) e^-x)

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  14. Differentiate the following w.r.t.x log(cose^x)

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  15. Differentiate the following w.r.t. x e^x+e^(x^2)+………..+e^(x^5)

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  16. Differentiate the following w.r.t.x sqrt(e^sqrtx),xgt0

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  17. Differentiate the following w.r.t.x log(logx),xgt1

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  18. Differentiate the following w.r.t. x (cos x)/(logx),x>0

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  19. Differentiate the following w.r.t. x cos(log x+e^x), x>0

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  20. Differentiate sqrt(((x-3)(x^2+4))/(3 x^2+4 x+5)) w.r.t.x.

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