Home
Class 12
MATHS
If "y"=sqrt("x")+1/"x", Show that 2"x...

If `"y"=sqrt("x")+1/"x",` Show that `2"x"("dy")/("dx")+"y"=2"\ "sqrt("x")`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

If y=sqrt(x)+(1)/sqrt(x) , then show that 2x(dy)/(dx)+y=2sqrt(x) .

x(dy)/(dx)-y=2sqrt(y^(2)-x^(2))

If y=sqrt(x)+(1)/(sqrt(x)), prove that 2x(dy)/(dx)=sqrt(x)-(1)/(sqrt(x))

y=sqrt(x)+(1)/(sqrt(x)), prove that 2x(dy)/(dx)=sqrt(x)-(1)/(sqrt(x))

If y=log{sqrt(x-1)-sqrt(x+1)}, show that (dy)/(dx)=(-1)/(2sqrt(x^(2)-1))

If y=log{sqrt(x-1)-sqrt(x+1)}, show that (dy)/(dx)=(-1)/(2sqrt(x^(2)-1))

If y=sqrt(x)+(1)/(sqrt(x))," then: "2x(dy)/(dx)+y=

if y=sqrt(x^(2)+a^(2)), then show that y(dy)/(dx)=x

x(dy)/(dx)=y+sqrt(x^(2)-y^(2))

solve x(dy)/(dx)-y=sqrt(x^(2)+y^(2))

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the image of the point (1,2, 3) in the plane "x"+2"y"+4"z"=38

    Text Solution

    |

  2. A and B toss coin alternately till one of them gets a head and wins...

    Text Solution

    |

  3. If "y"=sqrt("x")+1/"x", Show that 2"x"("dy")/("dx")+"y"=2"\ "sqrt("...

    Text Solution

    |

  4. If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) fin...

    Text Solution

    |

  5. Differentiate with (x^2+\ 1) respect to x from first principle.

    Text Solution

    |

  6. Evaluate : int(sinx)/((1-cosx)\ (2-cosx)\ dx

    Text Solution

    |

  7. Using matrices, solve the following system of equations : x+2y-3z...

    Text Solution

    |

  8. If y=sin(logx), prove that x^2(d^2y)/(dx^2)+\ x(dy)/(dx)+\ y=0

    Text Solution

    |

  9. Verify Rolle's theorem for the function f(x)=\ x^2-5x+4\ on [1, 4].

    Text Solution

    |

  10. Find the projection of vec b+\ vec c on vec a where vec a=2 hat i-...

    Text Solution

    |

  11. Evaluate int0^2(x^2+\ 2x+1)dx as limit of a sum.

    Text Solution

    |

  12. Using integration, find the area of the region enclosed between the...

    Text Solution

    |

  13. Using properties of definite integrals, prove the following : into...

    Text Solution

    |

  14. Evaluate: intcos4x cos3x\ dx

    Text Solution

    |

  15. Evaluate : int(1+x^2)/(1+x^4)dx

    Text Solution

    |

  16. A card is drawn at random from a well-shuffled pack of 52 cards. Fi...

    Text Solution

    |

  17. Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...

    Text Solution

    |

  18. If A=[(2,-3),(3,4)], show the A^2-6A+17I=0. Hence find A^-1

    Text Solution

    |

  19. Using the properties of determinants, prove that following |(a-b,-c^2,...

    Text Solution

    |

  20. An urn contains 7 red and 4 blue balls. Two balls are drawn at rand...

    Text Solution

    |