Home
Class 12
MATHS
If y=logtan(pi/4+x/2),\ show that (dy)/...

If `y=logtan(pi/4+x/2),\ ` show that `(dy)/(dx)=secx`. Also find the value of `(d^2y)/(dx^2)` at `x=pi/4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

If x = 3 tant and y = 3 sec t, then the value of (d^2y)/(dx^2)" at" t=pi/4 is

If y=|tanx-|sinx|| , then the value of (dy)/(dx) at x=(5pi)/(4) is

Find (dy)/(dx) if x-y =pi

If x=a(cost+tsint) and y=a(sint-tcost), then find the value of (d^2y)/(dx^2) at t=pi/4

If y=int_(0)^(x)sqrt(sin x)dx the value of (dy)/(dx) at x=(pi)/(2) is :

If x=cost+logtan(t/2),\ \ y=sint , then find the value of (d^2y)/(dt^2) and (d^2y)/(dx^2) at t=pi/4 .

Let y=tan((pi)/4+x/2) . Then (dy)/(dx) at x=(pi)/4

If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2

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

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

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Solve the following differential equation: ((x^2-1)dy)/(dx)+2x y=1/(x...

    Text Solution

    |

  2. Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...

    Text Solution

    |

  3. If y=logtan(pi/4+x/2),\ show that (dy)/(dx)=secx. Also find the val...

    Text Solution

    |

  4. If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy)/(dx)

    Text Solution

    |

  5. Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\ x)\ dx

    Text Solution

    |

  6. From the following matrix equation, find the value of x:[[x+y,4],[-5,...

    Text Solution

    |

  7. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

    Text Solution

    |

  8. Form the differential equation representing the family of ellipses ...

    Text Solution

    |

  9. Prove the following, using properties of determinants: |[a+b+2c,a,b],[...

    Text Solution

    |

  10. Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...

    Text Solution

    |

  11. Using properties of determinants, prove the following |(a^2+1,ab,ac),(...

    Text Solution

    |

  12. If y=(t a n^(-1)\ x)^2 , show that (x^2+1)^2(d^2\ y)/(dx^2)+2x(x^2+1)(...

    Text Solution

    |

  13. If veca,vecb, vecc are three vectors such that |veca |= 5, |vecb| =...

    Text Solution

    |

  14. Solve the following differential equation: 2x^2(dy)/(dx)-\ 2x y+y^2=0

    Text Solution

    |

  15. Find the particular solution of the following differential equation...

    Text Solution

    |

  16. Let * be a binary operation of N given by a*b=L C M\ (a , b) for all ...

    Text Solution

    |

  17. Evaluate: int(2x)/((x^2+1)(x^2+3))\ dx

    Text Solution

    |

  18. Evaluate: int(5x+3)/(sqrt(x^2+4x+10))\ dx

    Text Solution

    |

  19. Find the Vector and Cartesian equations of the line passing through...

    Text Solution

    |

  20. Evaluate : int((x-4)e^x)/((x-2)^3)\ dx

    Text Solution

    |