Home
Class 12
MATHS
If y=1/(x(x+1))then what is y3?...

If `y=1/(x(x+1))`then what is `y_3`?

Text Solution

Verified by Experts

`y=1/(x(x+1))=1/x-1/(x+1)rArry_1=(-1)/x^2+1/((x+1))^2y_2=2/x^3-2/((x+1))^4thereforey_3=(-6)/x^4+6/((x+1))^4`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos
  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

If y=(1)/(sqrt(x)) then what is the value of y_(2) ?

If y=cos^(-1)((x-1/x)/(x+1/x)), then what is dy/dx ?

If x+y=4, xy=1 then what is the value of tan^(-1)x+tan^(-1)y ?

If x+y+z=xyz, then what is the value of tan^(-1)x+tan^(-1)y+tan^(-1)z ?

If f'(x)=sqrt(2x^2-1) and y=f(x^2) then what is dy/dx at x = 1 ?

If sin^(-1)x+sin^(-1)y=(2pi)/3 then what is cos^(-1)x +cos^(-1)y

If the homogeneous form of the differential equation (dy)/(dx)=(x + y + 1)/( x - y +1) is (dY)/(dX) = (X + Y)/(X - Y) then what is the relation between Y and y?

If logsqrt(x^(2)+y^(2))=tan^(-1)((x)/(y)) , then show that (dy)/(dx)=(y-x)/(y+x) .

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If x=log t, y=t^2-1, then what is y2 at t=1 ?

    Text Solution

    |

  2. What is the slope of the tangent to the curve y=3x^2+2x-1 at x=2?

    Text Solution

    |

  3. If y=1/(x(x+1))then what is y3?

    Text Solution

    |

  4. If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

    Text Solution

    |

  5. A balloon is pumped at the tate of 10 cubic cm/min . What it the rate ...

    Text Solution

    |

  6. For what values of a the function e^(ax)is increasing ?

    Text Solution

    |

  7. What is the interval in which log5xis increasing ?

    Text Solution

    |

  8. What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasi...

    Text Solution

    |

  9. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |

  10. Write the least value of a for which the function f defined by f(x)=x^...

    Text Solution

    |

  11. For what value of K, Kf is increasing if f is increasing ?

    Text Solution

    |

  12. At what point of x^2=2y the point (0,3) is nearest to the curve?

    Text Solution

    |

  13. If theta+phi=pi/3, then for what value of a sin theta. Sin phi is maxi...

    Text Solution

    |

  14. Write the absolute maximum and absolute minimum of the function f(x)=x...

    Text Solution

    |

  15. Which condition of Rolle's theorem is violated by the functionf(x) = s...

    Text Solution

    |

  16. Which condition of Rolle's theorem is violated by the functionf(x) =| ...

    Text Solution

    |

  17. Is there any tangent to the curve y=|2x-1| at (1/2,0)?

    Text Solution

    |

  18. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

    Text Solution

    |

  19. Given f(2) = 6, (1) =4 find underset(hto0)lim(f(2+2h+h^2)-f(2))/(f(1+h...

    Text Solution

    |

  20. If (f(x))^(n) = f(nx), find (f'(nx))/(f'(x)).

    Text Solution

    |