Home
Class 12
MATHS
if y=log(e^(2x)+sqrt(1+e^(4x))) and y1sq...

if `y=log(e^(2x)+sqrt(1+e^(4x)))` and `y_1sqrt(1+e^(4x))=me^(mx)` then `m=`

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

if y=log(e^(2x)+sqrt(1+e^(4x))) and y_(1)sqrt(1+e^(4x))=me^(mx) then m=

If y=log(x^(2)+sqrt(x^(4)-a^(4)))," then "y_(1)sqrt(x^(4)-a^(4))=

If y=log(e^(-x)+xe^(-x))," then " (1+x)y_(1)=

int_(, then )^( If )(xe^(x))/(sqrt(1+e^(x)))dx=f(x)sqrt(1+e^(x))-2log g(x)+c

If int(1)/(sqrt(e^(4x)-36))dx=m.tan^(-1)[n.sqrt(e^(4x)-36)]+c , then : (m, n)-=

If : y=sqrt((1+e^(x))/(1-e^(x)))," then: "(dy)/(dx)=

Statement -1 : If I_(1)=int(e^(x))/(e^(4x)+e^(2x)+1)dx and I_(2)=int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx , then I_(2)-I_(1)=(1)/(2)log((e^(2x)-e^(x)+1)/(e^(2x)+e^(x)+1))+C where C is an arbitrary constant. Statement -2 : A primitive of f(x) =(x^(2)-1)/(x^(4)+x^(2)+1) is (1)/(2)log((x^(2)-x+1)/(x^(2)+x+1)) .

int sqrt(e^(x)-1)dxi sequa

If y=tan^(-1)((2)/(e^(-x)-e^(x)))" then "(1+e^(2x))y_(1)=

(d)/(dx)[log((e^(4x))/(1+e^(4x)))]

MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
  1. if y=log(e^(2x)+sqrt(1+e^(4x))) and y1sqrt(1+e^(4x))=me^(mx) then m=

    Text Solution

    |

  2. If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=

    Text Solution

    |

  3. If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=

    Text Solution

    |

  4. If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=

    Text Solution

    |

  5. If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=

    Text Solution

    |

  6. If x=(t+1)/(t),y=(t-1)/(t)," then: "(dy)/(dx)=

    Text Solution

    |

  7. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

    Text Solution

    |

  8. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

    Text Solution

    |

  9. If y=(x^(1/3)-x^(-1/3))then (dy)/(dx) is

    Text Solution

    |

  10. If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

    Text Solution

    |

  11. If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=

    Text Solution

    |

  12. d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

    Text Solution

    |

  13. (d)/(dx)(sec^(2)x*csc^(2)x)=

    Text Solution

    |

  14. If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

    Text Solution

    |

  15. If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=

    Text Solution

    |

  16. If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=

    Text Solution

    |

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

    Text Solution

    |

  18. If x^(2)=1+cosy," then: "(dy)/(dx)=

    Text Solution

    |

  19. Defferential coefficient of x^(x)w.r.t.x*logx is

    Text Solution

    |

  20. If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=

    Text Solution

    |

  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

    Text Solution

    |