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(d^(20))/(dx^(20))(2cosxcos3x)is equal t...

`(d^(20))/(dx^(20))(2cosxcos3x)`is equal to (a)`2^(20)(cos2x-2^(20)cos3x)` (b)`2^(20)(cos2x+2^(20)cos4x)` (c)`2^(20)(sin2x+2^(20)sin4x)` (d)`2^(20)(sin2x-2^(20)sin4x)`

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(d^(20)y)/(dx^(20))(2cosxcos3x)i se q u a l to a)2^(20)(cos2x-2^(20)os3x) b)2^(20)(cos2x+2^(20)cos4x) c)2^(20)(sin2x+2^(20)sin4x) d)2^(20)(sin2x-2^(20)sin4x)

(d^(20)y)/(dx^(20))(2cosxcos3x)is equal to 2^(20)(cos2x-2^(20)os3x) 2^(20)(cos2x+2^(20)cos4x) 2^(20)(sin2x+2^(20)sin4x) 2^(20)(sin2x-2^(20)sin4x)

(d^(20))/(dx^(20))(2cosxcos3x)= 2^(20)(cos2x-2^(20)cos4x) (b) 2^(20)(cos2x+2^(20)cos4x) (c) 2^(20)(sin2x+2^(20)sin4x) (d) 2^(20)(sin2x-2^(20)sin4x)

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RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
  1. If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xy(x)= 1 (b...

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  2. If f(x)=(cosx+isinx)(cos2x+isin2x)(cos3x+isin3x)......(cosn x+isinn x)...

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  3. (d^(20))/(dx^(20))(2cosxcos3x)is equal to (a)2^(20)(cos2x-2^(20)cos3x...

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  4. If x=acosn t-bsinn t ,t h e n(d^2x)/(dt^2) is n^2x (b) -n^2x (c) -n ...

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  5. Find order & degree of equation xy ((d^2y)/dx^2)+x(dy/dx)^2-y(dy/dx)=0...

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  6. In (dy)/(dx),x is a independent variable and y is the dependent variab...

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  7. If y^2=a^2cos^2x+b^2sin^2x ,t h e np rov et h a t(d^2y)/(dx^2)+y=(a^2b...

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  8. If y=sin^(-1)x , show that (d^2y)/(dx^2)=x/((1-x^2)^(3//2))

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  9. If y=Acosn x+Bsinn x , show that (d^2y)/(dx^2)+n^2\ y=0 .

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  10. If y=A e^(m x)+B e^(n x) , show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n ...

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  11. If y=Acos(logx)+\ Bsin(logx) , prove that x^2\ (d^2y)/(dx^2)+x(dy)/(dx...

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  12. If y=tanx+secx , prove that (d^2y)/(dx^2)=(cosx)/((1-sinx)^2)

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  13. If y=tanx , prove that y2=2y y1 .

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  14. If y=tan^(-1)x , find (d^2y)/(dx^2) in terms of y alone.

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  15. If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0 .

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  16. If y^3-y=2x , prove that (d^2y)/(dx^2)=-(24 y)/((3y^2-1)^3) .

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  17. If e^y(x+1)=1 . Show that (d^2y)/(dx^2)=((dy)/(dx))^2

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  18. If y=x^x , find (d^2y)/(dx^2) .

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  19. If y=xlog"{"x/((a+b x))"]" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

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  20. If y=log{x+ sqrt( x^2+a^2 )} , prove that: (x^2+a^2)(d^2y)/(dx^2)+x(dy...

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