Home
Class 12
MATHS
If y=sqrt(x+1)+sqrt(x-1)," then: "2sqrt(...

If `y=sqrt(x+1)+sqrt(x-1)," then: "2sqrt(x^(2)-1)*(dy)/(dx)=`

A

`(y)/(4)`

B

`(y)/(3)`

C

`(y)/(2)`

D

y

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=sqrt(x+1)+sqrt(x-1), prove that sqrt(x^(2)-1)(dy)/(dx)=(1)/(2)y

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

If y=sqrt(1+sqrt(1+x^(4))), prove that y(y^(2)-1)(dy)/(dx)=x^(3)

If y=sqrt(x)+(1)/sqrt(x) , then show that 2x(dy)/(dx)+y=2sqrt(x) .

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

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

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

If x sqrt(1+y)+y sqrt(1+x)=0 and x!=y ,then (1+x)^(2)(dy)/(dx)+(3)/(2)=

If y=sqrt(x)+(1)/(sqrt(x)), prove that 2x(dy)/(dx)=sqrt(x)-(1)/(sqrt(x))

if y=(sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1)), then (dy)/(dx) is

MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
  1. If y=sqrt(x+1)+sqrt(x-1)," then: "2sqrt(x^(2)-1)*(dy)/(dx)=

    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

    |