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If y=(tanx)^(cotx) , then (dy)/(dx) is e...

If `y=(tanx)^(cotx)` , then `(dy)/(dx)` is equal to......

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If y^x+x^y=a^b , then (dy)/(dx) is equal to........

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  2. If f(x)=e^xg(x), g(0)=2, g'(0)=1 , then f'(0) is equal to.......

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  3. If y=(tanx)^(cotx) , then (dy)/(dx) is equal to......

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  4. If x^p y^q = (x+y)^(p+q) find dy/dx

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  5. If y=(sinx)^(sinx)^(((sinx)dotoo)) , then (dy)/(dx) is equal to..........

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  6. If x=e^(y+e^(y)+..... oo) , x >0 , then (dy)/(dx) is equal to........

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  7. If x^y=y^x , then (dy)/(dx) is equal to......

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  8. If y=sqrt(x+sqrt(x+sqrt(x+ tooo))) , then (dy)/(dx) is equal to.....

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  9. d/(dx){(sinx)^(logx)} is equal to..........

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  10. The differential equation satisfied by the function y=sqrt(sinx+sqr...

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  11. Find the (dy)/(dx) of y=cot^(-1)((1+x)/(1-x))

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  12. Find the (dy)/(dx) of y=tan^(-1)sqrt((1-cosx)/(1+cosx))

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  13. Find the (dy)/(dx) of y=cos^(-1)sqrt((1+cosx)/2)

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  14. Find the (dy)/(dx) of y=tan^(-1)((sqrt(a)-sqrt(x))/(1+sqrt(a x)))

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  15. Find the (dy)/(dx) of y=cot^(-1)(x^2)

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  16. Find the (dy)/(dx) of y=tan^(-1)((sqrt(x)-x)/(1+x^(3//2)))

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  17. Find the (dy)/(dx) of y=cos^(-1)sqrt((1+x^2)/2)

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  18. Find the (dy)/(dx) of y=tan^(-1)((a x-b)/(b x+a))

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  19. Find the differentiation of y=tan^(-1)sqrt((1+cosx/2)/(1-cosx/2))

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  20. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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