Home
Class 12
MATHS
If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy...

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

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 y=cos^(-1)((3x+4\ sqrt(1-x^2))/5) , find (dy)/(dx)

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

If y=cos^(-1)((x-x^(-1))/(x+x^(-1))), then (dy)/(dx) is

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

y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x lt1 . find dy/dx

If cos^-1((x)/sqrt(1+x^2)) then find dy/dx

If y=x^x+x^(1//x) , find (dy)/(dx)

y=x^(2)+(1)/(x^(2)) . Find (dy)/(dx)

y=x+x^(2)+(1)/(x)+(1)/(x^(3)) . Find (dy)/(dx)

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Show that y=log(1+x)-(2x)/(2+x), x gt 1 is an increasing function of x...

    Text Solution

    |