Home
Class 11
MATHS
Let y=x/(x+5), then value of (dy)/(dx) i...

Let `y=x/(x+5)`, then value of `(dy)/(dx)` is:

A

`(1+y)/y`

B

`y(1-y)`

C

`1+y^2`

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    JBD PUBLICATION|Exercise EXAMPLE|18 Videos

  • LINEAR INEQUALITIES

    JBD PUBLICATION|Exercise EXAMPLE|20 Videos

Similar Questions

Explore conceptually related problems

If y=(sinx+cosx)/(sinx-cosx) , then value of (dy)/(dx) at x=0 is:

If y=sinx+tanx, then value of (dy)/(dx) at x=pi/3 is:

If y=x^(sin x), then find (dy)/(dx)

Let y=x^3-8x+7 and x=f(t) if (dy)/(dt)=2 and x=3 at t = 0, then find the value of (dx)/(dt) at t=0.

If x=at,y=at^(2) then (dy)/(dx) is:

Let y= int_(u(x))^(y(x)) f (t) dt, let us define (dy)/(dx) as (dy)/(dx)=v'(x) f (v(x)) - u' (x) f(u(x)) and the equation of the tangent at (a,b) and y-b=((dy)/(dx))(a,b) (x-a) . If y=int_(x^(2))^(x^(4)) (In t) dt , "then" lim_(x to 0^(+)) (dy)/(dx) is equal to

If y=x^(x^(2)), then (dy)/(dx) equals

JBD PUBLICATION-LIMITS AND DERIVATIVES-EXAMPLE
  1. Let y=x/(x+5), then value of (dy)/(dx) is:

    Text Solution

    |

  2. Find the derivative of (sinx)/(1+cosx) with respect to x.

    Text Solution

    |

  3. Find the derivative of cosx from first principle.

    Text Solution

    |

  4. Find the derivative of (sinx + cosx)/(sinx - cosx)

    Text Solution

    |

  5. underset(xrarr0)lim (sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^2)+sqrt(1+x))

    Text Solution

    |

  6. Find k, so that underset(xrarr2)lim f(x) may exist, where f(x)={(x^2+1...

    Text Solution

    |

  7. Suppose f(x) = {:(a+bx,xlt1),(4,x=1),(b-ax,xgt1):} and if underset(x ...

    Text Solution

    |

  8. Evaluate underset(x rarr 0)lim(sin ax+bx)/(ax+sin bx)

    Text Solution

    |

  9. Evaluateunderset(xrarr0)lim (e^(ax)-1)/(e^(bx)-1).

    Text Solution

    |

  10. Find the derivative of the folloiwng functions: (x-1)(x-2).

    Text Solution

    |

  11. Find the derivative of 1/sqrt(3x+1) at x=2.

    Text Solution

    |

  12. Find the derivative of the folloiwng: (5x^3+3x-1)(x-1).

    Text Solution

    |

  13. Find the derivative of the folloiwng: x^-4(3-4x^-5)

    Text Solution

    |

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

    Text Solution

    |

  15. Find the derivative of (x^2-3x)

    Text Solution

    |

  16. Evaluate underset(x rarr 2)lim (3x^(2)-x-10)/(x^(2)-4)

    Text Solution

    |

  17. Evaluate: underset(xrarra)lim ((x+2)^(5/3)-(a+2)^(5/3))/(x-a).

    Text Solution

    |

  18. Evaluate underset(zto1)(lim)(z^(1//3)-1)/(z^(1//6)-1)

    Text Solution

    |

  19. underset(xrarr0)lim (1-cos mx)/(1-cos nx).

    Text Solution

    |

  20. Evaluate underset(xrarr0)lim (2^(x+3)-8)/(x).

    Text Solution

    |

  21. underset(x rarr 0) lim(e^(4x-1)/(x))

    Text Solution

    |