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If y=(1-tanx)/(1+tanx), prove that (dy)/...

If `y=(1-tanx)/(1+tanx)`, prove that `(dy)/(dx)=(-2)/(1+sin2x)`.

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE 13 (h)
  1. Find the derivatives of the following : (sin(x+a))/cosx

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  2. Find the derivatives of the following : 5secx+4cosx

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  3. (a+bsinx)/(c+d cosx)

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  4. Find derivative of the following functions (it is to be understood ...

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  5. Find the derivative of the following functions (it is to be understand...

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  6. Find the derivatives of the following : x/sin^(n)x

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  7. Find the derivatives of the following : sinxsin2x

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  8. Find the derivatives of the following : (x^(2)+2)cosx

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  9. Find the derivatives of the following : (x^(2)-5x+6) secx

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  10. Find the derivatives of the following : x^(3)+sinx

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  11. Find the derivative of the following functions (it is to be understand...

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  12. Use delta method to find the derivatives of the following : cos(3x+5)

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  13. Use delta method to find the derivatives of the following : sinx+cos...

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  14. Use delta method to find the derivatives of the following : tan2x

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  15. Use delta method to find the derivatives of the following : tan(3x+1...

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  16. Use delta method to find the derivatives of the following : sec(2x-1...

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  17. Use delta method to find the derivatives of the following : sqrt(sinx...

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  18. Find (dy)/(dx) when : y=(x+tanx)/(tanx)

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  19. Find (dy)/(dx) when : y=(cosx)/(1+sinx)

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  20. If y=(1-tanx)/(1+tanx), prove that (dy)/(dx)=(-2)/(1+sin2x).

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