Home
Class 12
MATHS
Let S be a square with sides of length x...

Let S be a square with sides of length x. If we approximate the change in size of the area of S by `h (dA)/(dx)|_(x=x_0)`, when the sides are changed from `x_0` to `x_0 + h`, then the absolute value of the error in our approximation, is

A

`h^(2)`

B

`2hx_(0)`

C

`x_(0)^(2)`

D

h

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|4 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Find the approximate change in the surface area of a cube of side x metres caused by decreasing the side by 1%.

If int sin 3x cos 5x dx=0 when x=0 , then the value of constant of integration

Find the approximate change in the volume of a cube of side x metres caused by increasing the side by 1%.

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 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.

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.

Find the approximate change in the volume V of a cube of side x meters caused by increasing by side by 2%.

Find the approximate change in the volume 'V' of a cube of side x metres caused by decreasing the side by 1%.

Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.

Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.

ARIHANT MATHS ENGLISH-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

    Text Solution

    |

  2. In which of the following functions is Rolles theorem applicable? (a)f...

    Text Solution

    |

  3. The figure shows a right triangle with its hypotenuse OB along the y-a...

    Text Solution

    |

  4. Number of positive integral value(s) of a for which the curve y=a^(x) ...

    Text Solution

    |

  5. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  6. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  7. Coffee is coming out from a conical filter, with height and diameter b...

    Text Solution

    |

  8. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  9. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

    Text Solution

    |

  10. Let f(x)=x^3-3x^2+2x Find f'(x)

    Text Solution

    |

  11. The x-intercept of the tangent at any arbitrary point of the curve a/(...

    Text Solution

    |

  12. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

    Text Solution

    |

  13. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  14. At any two points of the curve represented parametrically by x=a (2 co...

    Text Solution

    |

  15. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

    Text Solution

    |

  16. Given f'(1)=1and f(2x)=f(x)AAxgt0.If f'(x) is differentiable, then th...

    Text Solution

    |

  17. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  18. The range of values of m for which the line y = mx and the curve y=(x)...

    Text Solution

    |

  19. Let S be a square with sides of length x. If we approximate the change...

    Text Solution

    |

  20. Consider f(x)=int1^x(t+1/t)dt and g(x)=f'(x) If P is a point on the cu...

    Text Solution

    |