Home
Class 12
MATHS
Let y=ln(1+cosx)^(2), then the value of(...

Let `y=ln(1+cosx)^(2)`, then the value of`(d^(2)y)/(dx^(2))+(2)/(e^(y//2))` equals

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)|10 Videos

  • DIFFERENTIATION

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

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 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

Let y=in (1+ cos x)^(2). The the value of (d^(2)y)/(dx^(2))+(2)/(e^(y//2)) equals

Let y=1n(1+cos x)^(2). Then the value of (d^(2)y)/(dx^(2))+(2)/(e^((y)/(2))) equal (a)0(b)(2)/(1+cos x)(c)(4)/(1+cos x)(d)(-4)/((1+cos x)^(2))

Let y=ln(1+cosx)^2 then the value of (d^2y)/(dx^2)+2/(e^(y//2)) equals 0 (b) 2/(1+cosx) (c) 4/((1+cosx)) (d) (-4)/((1+cosx)^2)

If y=e^(2x) , then (d^(2)y)/(dx^(2)).(d^(2)x)/(dy^(2)) is equal to

If y=cosx then find (d^(2)y)/(dx^(2)) .

y=int_(1)^(x)x.sqrt(ln t)dt. Find the value of (d^(2)y)/(dx^(2)) at x=e

If y= x^(3)log x,then ( d^(2)y)/(dx^(2)) =

If y=x log x ,then (d^(2)y)/(dx^(2))=

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. The derivative of the function, f(x)=cos^(-1){(1)/(sqrt13)(2cosx-3sin...

    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=ln(1+cosx)^(2), then the value of(d^(2)y)/(dx^(2))+(2)/(e^(y//2)...

    Text Solution

    |

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

    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)......... .......

    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 function u=e^x s in ; v=e^x cos x satisfy the equation v(d u)/(dx)...

    Text Solution

    |

  11. If f(x)=logx(lnx) 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 (dy)/(dx) is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |