Home
Class 12
MATHS
The point of inflection of the curve y=(...

The point of inflection of the curve `y=(x-1)^(3)` is

A

(0,0)

B

(0, 1)

C

(1, 0)

D

(1, 1)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Choose the correct answer)|40 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Problems For Practice (Answer the following question)|39 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    PREMIERS PUBLISHERS|Exercise Solution To Exercise 7.9|8 Videos
  • APPLICATIONS OF INTEGRATION

    PREMIERS PUBLISHERS|Exercise Answer the following questions.|18 Videos

Similar Questions

Explore conceptually related problems

The point of inflection of the curve y = x^(4) is at:

The point of inflexion for the curve y = x^(3) - 3x+1 is :

Find the coordinates of the point of inflection of the curve f(x) =e^(-x^(2))

If x_(0) is the x - coordinate of the point of inflection of a curve y=f(x) then (second derivative exists) ………….. .

The point of intersection of the curves y^(2) = 4x and the line y = x is

Find the intervals of concavity and the points of inflection of the function. y=12x^(2)-2x^(3)-x^(4)

Consider the curves y^(2) = x and x^(2) = y . (i) Find the points of intersection of these two curves. (ii) Find the area between these two curves.

Consider the curve y = x^(2) and the straight line y = 2x + 3 . (i) Find the points of intersection of the given curve and the straight line. (ii) Find the area of the region bounded by the given curve and the straight line.

Determine the intervals of concavity of the curve f(x)=(x-1)^(3)(x-5),x in R and , points of inflection if any

PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Solution To Exercise 7.10
  1. The volume of a sphere is increasing in volume at the rate of 3picm^(3...

    Text Solution

    |

  2. A balloon rises straight up at 10m/s. An observer is 40 m away from th...

    Text Solution

    |

  3. The position of a particle moving along a horizontal line of any time ...

    Text Solution

    |

  4. A stone is thrown up vertically. The height it reaches at time t secon...

    Text Solution

    |

  5. Find the point on the curve 6y = x^(3) + 2 at which y-coordinate chang...

    Text Solution

    |

  6. The abscissa of the point on the curve f(x)=sqrt(8-2x) at which the sl...

    Text Solution

    |

  7. The slope of the line normal to the curve f(x)=2cos4x" at "x=pi/12 is

    Text Solution

    |

  8. The tangent to the curve y^(2)-xy+9=0 is vertical when ……………… .

    Text Solution

    |

  9. Angle between y^(2) = x and x^(2) = y at the origin is

    Text Solution

    |

  10. What is the value of the limit underset (xrarr0)lim (cot x-(1)/(x))?

    Text Solution

    |

  11. The function sin^(4)x+cos^(4)x is increasing in the interval

    Text Solution

    |

  12. The number given by the Rolle's theorem for the function x^(3)-3x^(2),...

    Text Solution

    |

  13. The number given by the Mean value theorem for the function 1/x,x in[1...

    Text Solution

    |

  14. The minimum value of the function |3-x|+9 is

    Text Solution

    |

  15. The maximum slope of the tangent to the curve y = e^(x) sin x, x in [0...

    Text Solution

    |

  16. The maximum value of the functions x^(2) e^(-2x) , x gt 0 is ……….

    Text Solution

    |

  17. One of the closest points on the curve x^(2) - y^(2) = 4 to the point ...

    Text Solution

    |

  18. The maximum value of the product of two positive numbers, when their s...

    Text Solution

    |

  19. The curve y=ax^(4)+bx^(2)" with "abgt0

    Text Solution

    |

  20. The point of inflection of the curve y=(x-1)^(3) is

    Text Solution

    |