Home
Class 12
MATHS
y=x(x-3)^(2) decreases for the values of...

`y=x(x-3)^(2)` decreases for the values of x given by :

A

`1 lt x lt 3`

B

`x lt 0`

C

`x gt 0`

D

`0 lt x lt 3/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II|18 Videos
  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|8 Videos
  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|18 Videos
  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

Similar Questions

Explore conceptually related problems

If (3x, x-y)=(3,4), then the values of x and y are:

If (x/3+1, y-2/3)=(5/3, 1/3) , find the values of x and y.

If 2^x+3^y =17 and 2^(x+2)-3^(y+1)=5 , then what is the value of x ?

If (x - 2,y + 3) = (5,-6) , then find the value of x and y.

Given that (dy)/(dx)=e^(-2y) and y=0 when x=5. Find the value of x when y=3.

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is

Find for which values of 'x', the functions: y =x^4 -(4x^3)/3 is increasing and for which values, it is decreasing.

ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
  1. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

    Text Solution

    |

  2. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

    Text Solution

    |

  3. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |

  4. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

    Text Solution

    |

  5. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  6. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

    Text Solution

    |

  7. Find the intervals in which the following functions are (a)increasing ...

    Text Solution

    |

  8. Let f:R to R be defined by f(x)=2x+cosx, then f:

    Text Solution

    |

  9. y=x(x-3)^(2) decreases for the values of x given by :

    Text Solution

    |

  10. The function f(x)=4sin^(3)x-6sin^(2)x+12sinx+100 is strictly

    Text Solution

    |

  11. Which of the following function is strictly decreasing in ( 0, pi/2) ?

    Text Solution

    |

  12. The function f(x) = tanx - x

    Text Solution

    |

  13. If x is real, the maximum value of x^2 -8x + 17 is

    Text Solution

    |

  14. The smallest value of polynomial x^(3)-18x^(2)+96x in [0, 9] is

    Text Solution

    |

  15. The function f(x)=2x^(3)-3x^(2)-12x+4, has

    Text Solution

    |

  16. Find the maximum value of sin x cos x.

    Text Solution

    |

  17. At x=(5pi)/6, f(x)=2sin3x+3cos3x is :

    Text Solution

    |

  18. Find the maximum slope of the curve: y = -x^3 + 3x^2 + 2x - 27

    Text Solution

    |

  19. f(x)=x^(x) has a stationary point at

    Text Solution

    |

  20. The maximum value of (1/x)^(x) is :

    Text Solution

    |