Home
Class 12
MATHS
Find (dy)/(dx) when : y=(x+2)/((x-1)(...

Find `(dy)/(dx)` when :
`y=(x+2)/((x-1)(x+5))`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3A ( Long Answer Type Questions)|50 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Multiple Choice Type Questions)|9 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3A (Very Short Answer Type Questions)|90 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) when : x^(y)=y^(x)

Find (dy)/(dx) when : y^(y)=sin x

Find (dy)/(dx) , when y=2^(x)x^(5)

Find (dy)/(dx) when : x^(y)*y^(x)=1

Find (dy)/(dx) , when y=x^(x)+x^(2)

Find (dy)/(dx) when : x^(y)+y^(x)=a

Find (dy)/(dx) , when y=log|x|

Find (dy)/(dx) , when y=5^(x) *x^(5)

Find (dy)/(dx) , when y=(x^(2)-4)/(x^(2)(x+4))

Find (dy)/(dx) , when y=x^(x^(x^(x)))

CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3A ( Short Answer Type Questions)
  1. Find (dy)/(dx) when : y=sqrt(((x-a)(x-b))/((x-c)(x-d)))

    Text Solution

    |

  2. Find (dy)/(dx) when : y=log sqrt((1+sinx)/(1-sinx))

    Text Solution

    |

  3. Find (dy)/(dx) when : y=(x+2)/((x-1)(x+5))

    Text Solution

    |

  4. Differentiate the following functions w.r.t. t : (3^(t) cos t+sin t...

    Text Solution

    |

  5. Differentiate the following functions w.r.t. t : (t^(-2)+t^(2))(2^(...

    Text Solution

    |

  6. Differentiate the following functions w.r.t. t : sqrt(t) e^(t) sec...

    Text Solution

    |

  7. Differentiate the following functions w.r.t. t : (u)/( e^(u) -1)

    Text Solution

    |

  8. Differentiate the following functions w.r.t. t : (u sin u+cos u)/(u...

    Text Solution

    |

  9. If x=a(theta+sin theta) and y=a(1+cos theta), then find the simplified...

    Text Solution

    |

  10. If x=(sin^(3)t)/(sqrt(cos 2t)) and y=(cos^(3)t)/( sqrt(cos 2t)), show...

    Text Solution

    |

  11. Find the differential coefficient of : (tan^(-1)x)/(1+tan^(-1)x)" ...

    Text Solution

    |

  12. Find the differential coefficient of : "tan"^(-1)(sqrt(1+x^(2))-1)/...

    Text Solution

    |

  13. Find the differential coefficient of : "cos"^(-1)(1-x^(2))/(1+x^(2...

    Text Solution

    |

  14. Find the differential coefficient of : x^(sin^(-1)x)" w.r.t. " sin...

    Text Solution

    |

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

    Text Solution

    |

  16. If y=e^((y)/(x)) show that, (dy)/(dx)=(y^(2))/(x(y-x)).

    Text Solution

    |

  17. If ye^(y)=x, prove that, (dy)/(dx)=(y)/(x(1+y)).

    Text Solution

    |

  18. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), show that, (dy)/(dx)=(sqrt(1-...

    Text Solution

    |

  19. If y= e^(sin^(-1)x) and z=e^(-cos^(-1)x), prove that the value of (dy...

    Text Solution

    |

  20. If y=sin((pi)/(6)e^(xy)), find (dy)/(dx) at x=0.

    Text Solution

    |