Home
Class 12
MATHS
xa n dy are the sides of two squares suc...

`xa n dy` are the sides of two squares such that `y=x-x^2` . Find the rate of the change of the area of the second square with respect to the first square.

Text Solution

Verified by Experts

The correct Answer is:
`1-3x+2x^(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 6 MARK QUESTIONS|13 Videos

  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 2 MARK QUESTIONS|20 Videos

  • APPLICATIONS OF INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR/SIX MARK QUESTIONS|26 Videos

Similar Questions

Explore conceptually related problems

x and y are the sides of two squares such that y=x-x^(2). Find the rate of the change of the area of the second square with respect to the first square.

If x and y are the sides of two squares such that y=x-x^(2) , find the rate of the change of the area of the second square with respect to the first square.

x and y are the sides of two square such that y=x-x^(2) . The rate of change of area of the second square with respect to that of the first square is

If x and y are the sides of two squares such that y=x-x^(2) .Find the change of the area of second square with respect to the area of the first square.

Given two squares of sides x and y such that y=x+x^(2) what is the rate of change of area of the second square with respect to the area of the first square?

Diagonal of first square is half of the diagonal of the other, then the area of second square with respect to the area of the first square will be

The side of a square is increasing at a rate of 4cm/sec. Find the rate of increase of its area when the side of square is 10 cm.

The side of a square in increasing at the rate of 0.2cm/sec. Find the rate of increase of the perimeter of the square.

CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-4 MARK QUESTIONS
  1. A spherical ball of salt is dissolving in water in such a manner that ...

    Text Solution

    |

  2. A conical vessel whose height is 10 meters and the radius of whose bas...

    Text Solution

    |

  3. xa n dy are the sides of two squares such that y=x-x^2 . Find the rate...

    Text Solution

    |

  4. The length of a rectangle is increasing at the rate 3.5 cm/sec. and it...

    Text Solution

    |

  5. If the area of circle increases at a uniform rate, then prove that the...

    Text Solution

    |

  6. Show that f(x)=x^(3)-6x^(2)+18x+5 is an increasing function for all x ...

    Text Solution

    |

  7. Determine whether the following function is increasing or decreasing i...

    Text Solution

    |

  8. Determine for which values of x, the function y=x^(4)-(4x^(3))/(3) is ...

    Text Solution

    |

  9. Find the interval of increasing and decreasing of the function f(x) =(...

    Text Solution

    |

  10. Find the intervals in which function f(x) = sin x-cos x, 0 lt x lt 2pi...

    Text Solution

    |

  11. Show that f(x)=x^(2)e^(-x), 0 le x le 2 is increasing in the indicated...

    Text Solution

    |

  12. Prove that y=(4sintheta)/((2+costheta)-theta is an increasing function...

    Text Solution

    |

  13. Find the intevals in which the following functionis decreasing. f(x) =...

    Text Solution

    |

  14. Find the interval in which the function f(x)=5x^((3)/(2))-3x^((5)/(2))...

    Text Solution

    |

  15. Show that f(x)=tan^(-1)(sinx+cosx) is an increasing function on the ...

    Text Solution

    |

  16. Find the interval in which the function f(x) =cos^(-1) ((1-x^(2))/(1+x...

    Text Solution

    |

  17. Find intervals in which the function given by f(x)=3/(10)x^4-4/5x^3-3x...

    Text Solution

    |

  18. Find the equation of the tangent to the curve (x^(2))/(a^(2))-(y^(2))/...

    Text Solution

    |

  19. Find the equation of the tangent line to the curve y=x^2-2x+7which is(...

    Text Solution

    |

  20. Find the required point be P(x1, y1)dot The tangent to the curve sqrt(...

    Text Solution

    |