Home
Class 12
MATHS
Differentiate sqrt(((x-3)(x^(2)+4))/((3x...

Differentiate `sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5)))`.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5))) [(1)/((x-3))+(2x)/(x^(2)+4)-(6x+4)/(3x^(2)+4x+5)]`.
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXAMPLES|9 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.1|39 Videos

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

Differentiate sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5))) with respect to x

Differentiate the functions given in Exercises 1 to 11 w.r.t. x. sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5))) .

The order of the differential equation ((d^(2) y)/(dx^(2)))^(3) - ((dy)/(dx))^(4) + 5y = x is -

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(xy)/(x^(2)-1)=(x^(4)+2x)/(sqrt(1-x^(2))) in (-1, 1) satisfying f(0)=0 . Then underset((-sqrt(3))/(2))overset((sqrt(3))/(2))intf(x)dx is

The order of differential equation ((d^(4)y)/(dx^(4)))^(3) - (d^(3)y)/(dx^(3)) = sqrt(1 + (dy)/(dx) ) is -

Differentiate tan ^(-1)((sqrt(1+x^2 )-1)/x) w,r,t. tan ^(-1)x

Differentiate tan^(-1)(x/(1+sqrt((1-x^2)))) +{2tan^(-1)sqrt(((1-x)/(1+x)))} w.r.t. x

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(x y)/(x^2-1)=(x^4+2x)/(sqrt(1-x^2)) in (-1,1) satisfying f(0)=0. Then int_((sqrt(3))/2)^((sqrt(3))/2)f(x)dx is

Differentiate log sin x w.r.t. sqrt(x).

Differentiate w.r.t.x, the following functions : sqrt(3x+2)+(1)/(sqrt(2x^(2)+4)) .

NCERT BANGLISH-CONTINUITY AND DIFFERENTIABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 5
  1. Differentiate sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5))).

    Text Solution

    |

  2. Differentiate w.r.t.x the function in Exercises 1 to 11. (3x^(2)-9x+...

    Text Solution

    |

  3. Differentiate w.r.t.x the function in Exercises 1 to 11. sin^(3)x+ c...

    Text Solution

    |

  4. Differentiate w.r.t.x the function in Exercises 1 to 11. (5x)^( 3 co...

    Text Solution

    |

  5. Differentiate w.r.t.x the function in Exercises 1 to 11. sin^(-1)(x ...

    Text Solution

    |

  6. Differentiate w.r.t.x the function in Exercises 1 to 11. (cos^(-1)""...

    Text Solution

    |

  7. Differentiate w.r.t.x the function in Exercises 1 to 11. cot^(-1)[(s...

    Text Solution

    |

  8. Differentiate w.r.t.x the function in Exercises 1 to 11. (x)^(log x)...

    Text Solution

    |

  9. Differentiate w.r.t.x the function in Exercises 1 to 11. cos( a cos ...

    Text Solution

    |

  10. Differentiate w.r.t.x the function in Exercises 1 to 11. (sin x- cos...

    Text Solution

    |

  11. Differentiate w.r.t.x the function in Exercises 1 to 11. x^(x)+x^(a)...

    Text Solution

    |

  12. x^(x^(2)-3)+(x-3)^(x^2)," for "x gt 3.

    Text Solution

    |

  13. Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t l...

    Text Solution

    |

  14. Find (dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1.

    Text Solution

    |

  15. If xsqrt(1+y)+ysqrt(1+x)=0," for ", -1 lt x lt 1, prove that (dy)/(d...

    Text Solution

    |

  16. If (x-a)^(2)+(y-b)^(2)=c^(2), for some c gt 0, prove that ([1+((dy)/...

    Text Solution

    |

  17. If cos y= x cos (a+y), with cos a ne pm 1, prove that (dy)/(dx)=(cos^(...

    Text Solution

    |

  18. If x=a (cos t +t sin t)" and "y= a (sin t -t cos t), find (d^(2)y)/(dx...

    Text Solution

    |

  19. If f(x)= |x|^(3), show that f''(x) exists for all real x and find it.

    Text Solution

    |

  20. Using mathematical induction prove that (d)/(dx)(x^n)= nx^(n-1) for al...

    Text Solution

    |

  21. Using the fact the that sin (A+B)= sin A cos B+ cos A sin B and the di...

    Text Solution

    |