Home
Class 12
MATHS
If y=x^(tanx)+sqrt((x^2+1)/2) , find (dy...

If `y=x^(tanx)+sqrt((x^2+1)/2)` , find `(dy)/(dx)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

If y=x^(tanx)+sqrt((x^2+1)/2),fin d(dy)/(dx)

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

If y=log((x^2+x+1)/(x^2-x+1))+2/(sqrt(3))t a n^(-1)((sqrt(3)x)/(1-x^2)), find (dy)/(dx)

If y=tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))) find (dy)/(dx)

If y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^2) ,x is [-1/2,0] , find (dy)/(dx)

If x=sqrt(1-y^2) , then (dy)/(dx)=

If y=sin[2tan^(-1){sqrt((1-x)/(1+x))}], find (dy)/(dx)

If y=sin[2tan^(-1){sqrt((1-x)/(1+x))}], find (dy)/(dx)

If y=sin^(-1){(5x+12 sqrt(1-x^(2)))/(13)}, find (dy)/(dx).

If y=cos^(-1){xsqrt(1-x)+sqrt(x)sqrt(1-x^2)} and 0

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If (x-y) \ e^(x/(x-y))=a , prove that y(dy)/(dx)+x=2y .

    Text Solution

    |

  2. If x = e^(x//y) , then prove that (dy)/(dx) = (x-y)/(xlogx).

    Text Solution

    |

  3. If y=x^(tanx)+sqrt((x^2+1)/2) , find (dy)/(dx)

    Text Solution

    |

  4. If y=1+alpha/((1/x-alpha))+(beta//x)/((1/x-alpha)(1/x-beta))+(gamma//...

    Text Solution

    |

  5. If y=x^x , find (dy)/(dx) .

    Text Solution

    |

  6. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dotto\ oo))) , prove that (dy)/(d...

    Text Solution

    |

  7. "If "y=a^(x^(a^(x...oo)))", prove that "(dy)/(dx)=(y^(2)(logy))/(x[1-y...

    Text Solution

    |

  8. If y=e^(x+e^(x+e^(x+dotto\ oo))) , show that (dy)/(dx)=y/(1-y) .

    Text Solution

    |

  9. If y=sqrt(x)^(sqrt(x)^(sqrt(x)^dotoo)) , show that (dy)/(dx)=(y^2)/(x(...

    Text Solution

    |

  10. If y=x+1/(x+1/(x+1/(x+\ dot))) , prove that (dy)/(dx)=y/(2y-x) .

    Text Solution

    |

  11. If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+\ ddotto\ oo)))) , prove ...

    Text Solution

    |

  12. If y=sqrt(x+sqrt(x+sqrt(x+\ dotto\ oo))) , prove that (dy)/(dx)=1/(2\ ...

    Text Solution

    |

  13. If y=sqrt(cosx+sqrt(cosx+sqrt(cosx+\ dotto\ oo))) , prove that (dy)/(d...

    Text Solution

    |

  14. If y=sqrt(logx+sqrt(logx+sqrt(logx+\ dotto\ oo))) , prove that (2y-1)(...

    Text Solution

    |

  15. If y=sqrt(tanx+sqrt(tanx+sqrt(tanx+\ dotto\ oo))) , prove that (dy)/(d...

    Text Solution

    |

  16. If y=sinx^(sinx^(sinx^dotoo)) , prove that (dy)/(dx)=(y^2cotx)/((1-ylo...

    Text Solution

    |

  17. Prove that : cos 6x=32 cos^6 x -48cos^4 x - 18 cos^2 x -1

    Text Solution

    |

  18. If y=e^(x^(e^x))+x^(e^(e^x))+e^(x^(x^e)) , prove that (dy)/(dx)=e^(x^(...

    Text Solution

    |

  19. If y=cosx^(cosx^(cosx^dotoo)) , prove that (dy)/(dx)=-(y^2tanx)/((1-yl...

    Text Solution

    |

  20. Find (dy)/(dx) : x=a{cost+1/2logt a n^2t/2} and y=asint .

    Text Solution

    |