Home
Class 12
MATHS
If y=x^(n-1)lnx then x^2y2+(3-2n)x y1 is...

If `y=x^(n-1)lnx` then `x^2y_2+(3-2n)x y_1` is equal to (a) `-(n-1)^2y` (b) `(n-1)^2y` (c) `-n^2y` (d) `n^2y`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|406 Videos

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA ENGLISH|Exercise All Questions|232 Videos

Similar Questions

Explore conceptually related problems

If y^(1/n)+y^(-1/n) = 2x then (x^2-1)y_2+xy_1 is equal to

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to n(n-1)y (b) n(n+1)y n y (d) n^2y

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to n(n-1)y (b) n(n+1)y n y (d) n^2y

If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If y=cos^(-1)(cosx),t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2-y^2)/(x^2+y^2) (d) y/x

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to (a) x+y (b) 1+x y (c) 1-x y (d) x y-2

If xa n dy are of same sign, then the value of (x^3)/2cos e c^2(1/2tan^(-1)x/y)+(y^3)/2sec^2(1/2tan^(-1)y/x) is equal to (x-y)(x^2+y^2) (b) (x+y)(x^2-y^2) (x+y)(x^2+y^2)dot (d) (x-y)(x^2-y^2)

If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to (a) x/y (b) y/(x^2) (C) (x^2-y^2)/(x^2+y^2) (d) y/x

If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is equal to (a) y (b) y+(x^n)/(n !) (c) y-(x^n)/(n !) (d) y-1-(x^n)/(n !)

RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
  1. If sin^-1x + sin^-1(1-x) = sin^-1sqrt[1-x^2],then x is equal to

    Text Solution

    |

  2. If y=2/(sqrt(a^2-b^2))tan^(-1){sqrt((a-b)/(a+b))tan(x/2)} , then show ...

    Text Solution

    |

  3. If y=x^(n-1)lnx then x^2y2+(3-2n)x y1 is equal to (a) -(n-1)^2y (b) (...

    Text Solution

    |

  4. If x y-(log)e y=1 satisfies the equation x(y y2+y1 2)-y2+lambday y1=0,...

    Text Solution

    |

  5. If x=f(t )cost-f^(prime)(t)sint and y=f(t)sint+f^(prime)(t)cost ,t h ...

    Text Solution

    |

  6. If d/(dx){x^n-a1x^(n-1)+a2x^(n-2)++(-1)^n an}e^x=x^n e^x , then the va...

    Text Solution

    |

  7. If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to

    Text Solution

    |

  8. Let f(x) be a polynomial.Then, the second order derivative of f(e^x) ...

    Text Solution

    |

  9. If y=tan^-1((log(e/x^2))/(log(ex^2)))+tan^-1((3+2logx)/(1-6logx)), the...

    Text Solution

    |

  10. If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xy(x)= 1 (b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |