Home
Class 12
MATHS
x and y are the sides of two squares suc...

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

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

If the rate of increasae of the side of a squre is 1 cm/sec , the rate of increase of the area of the square when its side 2 cm, is

CHOOSE the correct answer from the following alternative : the rate of incrse of a side of a square is 1cm/sec. the rate of increase of area of the square, when length os a side of the square is 2 cm , is -

The rate of increase of a side of a square is 1 cm/sec. The rate of increase of area of the square, when length of a side of the square is 2 cm, is

Find the area of a square whose each side is 7x cm.

Find the equations of the diagonals of the square formed by the lines x=o,y=0,x=1a n dy=1.

Find value of the x^2 xx square = 1

If two sides of a square are the part of the straight lines 5x-2y=13and5x-2y+16=0 then find the area of the square.

If one of the sides of a square is 3x-4y-12=0 and the center is (0,0) , then find the equations of the diagonals of the square.

Let's find the area of a square whole each side is 7x cm.

Prove that the sum of the areas of the squares drawn on the sides of a rhombus is equal to the sum of the areas of two squares drawn on the diagonals of the given square.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Two men Pa n dQ start with velocity u at the same time from the juncti...

    Text Solution

    |

  2. Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,0lt=xlt=(2pi)/3

    Text Solution

    |

  3. x and y are the sides of two squares such that y=x-x^2 Find the rate o...

    Text Solution

    |

  4. Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

    Text Solution

    |

  5. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  6. How many roots of the equation 3x^(4) + 6x^(3) + x^(2) + 6x + 3 = 0 ar...

    Text Solution

    |

  7. Two cyclists start from the junction of two perpendicular roads, there...

    Text Solution

    |

  8. Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and ...

    Text Solution

    |

  9. Tangent of an angle increases four times as the angle itself. At what ...

    Text Solution

    |

  10. Discuss the extremum of f(x)=1/3(x+1/x)

    Text Solution

    |

  11. Let g(x)=f(x)+f(1-x) and f''(x)>0AAx in (0,1)dot Find the intervals of...

    Text Solution

    |

  12. Discuss the extremum of f(x)=x(x^2-4)^(-1/3)

    Text Solution

    |

  13. A hours runs along a circle with a speed of 20 km/hr. A lantern is at ...

    Text Solution

    |

  14. A running track of 440 ft is to be laid out enclosing a football field...

    Text Solution

    |

  15. Let x be the length of one of the equal sides of an isosceles triangle...

    Text Solution

    |

  16. The lengths of the medians through acute angles of a right-angled tr...

    Text Solution

    |

  17. If water is poured into an inverted hollow cone whose semi-vertical ...

    Text Solution

    |

  18. A point on the hypotenuse of a triangle is at distance a and b from ...

    Text Solution

    |

  19. If f:[-5,5]vecR is differentiable function and iff^(prime)(x) does not...

    Text Solution

    |

  20. Rectangles are inscribed inside a semi-circle of radius rdot Find the ...

    Text Solution

    |