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If y=x^x^x^ddot^((((oo)))), (dy)/(dx) ...

If `y=x^x^x^ddot^((((oo)))), (dy)/(dx)` is

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=(cosx)^((((cosx)^(((cosx)^((...oo)) prove that (dy)/(dx)=-(y^2tan...

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  2. If y=sqrt(sinx+y) ,write (dy)/(dx)dot

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  3. If y=x^x^x^ddot^((((oo)))), (dy)/(dx) is

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  4. If y=x^(tanx)+sqrt((x^2+1)/2),fin d(dy)/(dx)

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  5. If x^y=y^x ,then find (dy)/(dx)

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  6. If (sin"x")^y=(cos"y")^x, prove that (dy)/(dx)=(logcosy-ycotx)/(logsin...

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  7. If y^(x)=e^(y-x), then prove that (dy)/(dx) = ((1+logy)^(2))/(logy)

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  8. If y=(ax^2)/((x-a)(x-b)(x-c))+(bx)/((x-b)(x-c))+c/(x-c)+1 then (y prim...

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  9. If x=e^(x/y),prove that(dy)/(dx)=(x-y)/(xlogx)

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  10. If y=xsiny, prove that (dy)/(dx)=y/(x(1-xcosy)

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  11. If x ylog(x+y)=1, prove that (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2+x+y))

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  12. If (sin"x")^y=x+y ,p rov et h a t(dy)/(dx)=(1-(x+y)ycotx)/((x+y)logsin...

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  13. Differentiate: (logx)^x+x^(logx)w i t hr e s p e c t to x :

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  14. Find the derivative of (sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3)) with respec...

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  15. Differentiate the following functions with respect to x : (cos"x")^x ...

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  16. Differentiate the following functions with respect to x : (i) (x^x...

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  17. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),f...

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  18. If sqrt(y+x)+sqrt(y-x)=c ,s howt h a t(dy)/(dx)=y/x-sqrt((y^2)/(x^2)-1...

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  19. If y=cos^(-1)sqrt((cos3x)/(cos^3x)),t h e ns howt h a t(dy)/(dx)=sqrt...

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  20. If sqrt(1-x^2)+sqrt(1-y^2)=a(x-y),p rov et h a t(dy)/(dx)=sqrt((1-y^2...

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