Home
Class 12
MATHS
Differentiate the function w.r.t. x : ...

Differentiate the function w.r.t. x : `sqrt ((x-1)(x-2))/((x-3)(x-4)(x-5)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION XII)(SHORT ANSWER TYPE QUESTIONS) |12 Videos

  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

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

Differentiate the function w.r.t. x : x^x - 2^sinx

Differentiate the function w.r.t. x : (logx)^cosx

Differentiate the following w.r.t. x: sqrt((x-1)(x-2)(x-3)(x-4))

Differentiate the function w.r.t. x : (logx)^x + x^logx

Differentiate the following functions w.r.t. x (x+2)

Differentiate the function w.r.t. x : (x+1/x)^x + x^((1+1/x))

Differentiate the following functions w.r.t.x : x^x

Differentiate the function w.r.t. x : x^(xcosx) + (x^2 +1)/(x^2 - 1)

BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
  1. If y = sqrt(2^x+sqrt(2^x+sqrt(2^x+….......oo))), then prove that : (2y...

    Text Solution

    |

  2. If y = sqrt(5^x+sqrt(5^x+sqrt(5^x+….......oo))), then prove that : (2y...

    Text Solution

    |

  3. Differentiate the function w.r.t. x : sqrt ((x-1)(x-2))/((x-3)(x-4)(...

    Text Solution

    |

  4. Differentiate the following w.r.t. x. (sin x)^(cos x) + (cos x)^(sin...

    Text Solution

    |

  5. Differentiate the following w.r.t. x. (sin x)^(tan x) + (cos x)^(sec...

    Text Solution

    |

  6. Differentiate cos^(-1)((1)/(sqrt(1 + x^2))) w.r.t.x.

    Text Solution

    |

  7. Diferentiate tan^(-1)((x)/(sqrt(1 - x^2))) w.r.t.x.

    Text Solution

    |

  8. If y = cos(2 cos^(-1)x), then prove that (1 - x^2)(d^2y)/(dx) -xdy/dx ...

    Text Solution

    |

  9. If y = sin(2 cos^(-1)x), then prove that (1 - x^2)(d^2y)/(dx) -x dy/d...

    Text Solution

    |

  10. Verify Rolle's theorem for the function : f(x) = (x+1)(x-4) in the int...

    Text Solution

    |

  11. Verify Rolle's theorem for the following functions f(x)=(x + 2)(x-3)...

    Text Solution

    |

  12. Verify Rolle's theorem for the following functions f(x) = (x+3)(x-6)...

    Text Solution

    |

  13. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  14. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  15. If (cos x)^y = (cos y)^x, find dy/dx .

    Text Solution

    |

  16. Differentiate the following w.r.t. x : (x + 1/x)^x + x^(x + 1/x)

    Text Solution

    |

  17. Differentiate the following w.r.t. x : x^(x^2 - 3) + (x - 3)^(x^2) ,...

    Text Solution

    |

  18. For what value of k, function f (x) is continuous at x = 0 where f(x) ...

    Text Solution

    |

  19. Find (dy)/(dx) when x^y + y^x = a^b

    Text Solution

    |

  20. Differentiate tan^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + ...

    Text Solution

    |