Home
Class 12
MATHS
Let y=1n(1+cosx)^2 . Then the value of (...

Let `y=1n(1+cosx)^2` . Then the value of `(d^2y)/(dx^2)+2/(e^(y/2))` equal (b) `2/(1+cosx)` `4/(1+cosx)` (d) `(-4)/((1+cos"x")^2)`

A

0

B

`(2)/(1+cosx)`

C

`(4)/((1+cosx))`

D

`(-4)/((1+cosx)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If y=(sinx)/(1+cosx) , then value of (dy)/(dx) is:

If y = e^x (sinx + cosx) , prove that (d^2y)/(dx^2)- 2(dy)/(dx) + 2y = 0

If y = A sinx + B cosx then prove that d^2y/dx^2 + y = 0

If y = 5cosx -3sinx prove that (d^2y/dx^2) + y = 0

Find (d^2y)/(dx^2) if y = tan^(-1) x .

If y = tanx + sec x , prove that (d^2y)/(dx^2) = (cosx)/((1-sinx)^2)

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

If y = tan x + sec x , prove that (d^2y)/(dx^2) = (cosx)/((1-sinx)^2)

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If f(x)=cos^(-1)1/(sqrt(13))(2cosx-3sinx) +sin^(-1)1/(sqrt(13))*(2cos...

    Text Solution

    |

  2. If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f...

    Text Solution

    |

  3. Let y=1n(1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal...

    Text Solution

    |

  4. If f(x)=(a+sqrt(a^2-x^2)+x)/(sqrt(a^2-x^2)+a-x) where a>0 then f'(0) ...

    Text Solution

    |

  5. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x))=...

    Text Solution

    |

  6. If f(x) =|log(e)|x||, then f'(x) equals

    Text Solution

    |

  7. If f(x) is given by f(x)=(cosx+i sinx)(cos3x+isin3x)......[cos(2n-1)...

    Text Solution

    |

  8. Let f(x)=x^(n) , n being a non-negative integer, The value of n for w...

    Text Solution

    |

  9. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

    Text Solution

    |

  10. The functions u=e^(x).sinx and v=e^(x).cosx satisfy the equation

    Text Solution

    |

  11. If f(x)=log(x^(2))(logx),then f '(x)at x= e is

    Text Solution

    |

  12. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

    Text Solution

    |

  13. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  14. "If "y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))," then prove that "(dy)/(...

    Text Solution

    |

  15. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

    Text Solution

    |

  16. Let f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find ...

    Text Solution

    |

  17. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

    Text Solution

    |

  18. If y+log(1+x)=0 which of the following is true?

    Text Solution

    |

  19. If y=2^(3^(x)), then y' equals

    Text Solution

    |

  20. If g is the inverse of fandf(x) = x^(2)+3x-3,(xgt0). then g'(1) equal...

    Text Solution

    |