Home
Class 12
MATHS
f(x)=(x-8)^4(x-9)^5,0lt=xlt=10 , monoton...

`f(x)=(x-8)^4(x-9)^5,0lt=xlt=10 ,` monotonically decreases in (a) `(76/9, 10]` (b) `(8, 76/9)` (c) `(0,8)` (d) `((76)/9, 10)`

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 f(x)=ax^(3)-9x^(2)+9x+3 is monotonically increasing in each interval, then a ge k , find k.

If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then (a) k<3 (b) klt=2 (c) kgeq3 (d) none of these

The number of abdominal segments in male and female cockroach is (a) 10, 10 (b) 9, 10 (c) 10, 11 (d) 8, 10

If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible values of z is (are) (8pi)/(10) (b) (7pi)/(10) (c) (9pi)/(10) (d) (21pi)/(20)

If (-6,-4),(3,5),(-2,1) are the vertices of a parallelogram, then the remaining vertex can be (a) (0,-1) (b) 7,9) (c) (-1,0) (d) (-11 ,-8)

If (1)/(8!)+(1)/(9!)=(x)/(10!) , find x.

A point on the parabola y^2=18 x at which the ordinate increases at twice the rate of the abscissa is (a)(2,6) (b) (2,-6) (c) (9/8,-9/2) (d) (9/8,9/2)

The median of 10, 14, 11, 9, 8, 12, 6, is

In which of the following sets the inequality sin^6x+cos^6x >5/8 holds good? (a) (-pi/3,pi/8) (b) ((3pi)/8,(5pi)/8) (c) (pi/4,(3pi)/4) (d) ((7pi)/8,(9pi)/8)

If f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R then f(-3) + f(9) -5f(1)= ? (A) 7 (B) 8 (C) 9 (D) 10

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the number of solutions of the equation x^3+2x^2+5x+2cosx=0 in [0...

    Text Solution

    |

  2. f(x)=(x-1)|(x-2)(x-3)|dot Then f decreases in (a)(2-1/(sqrt(3)),2) (b...

    Text Solution

    |

  3. f(x)=(x-8)^4(x-9)^5,0lt=xlt=10 , monotonically decreases in (a) (76/9...

    Text Solution

    |

  4. f(x)=(x-2)|x-3| is monotonically increasing in (a)(-oo,5/2)uu(3,oo)...

    Text Solution

    |

  5. F(x)=|xlog(e)x|monotonically decreases in which interval?

    Text Solution

    |

  6. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

    Text Solution

    |

  7. A function g(x) is defined as g(x)=1/4f(2x^2-1)+1/2f(1-x^2) and f(x) i...

    Text Solution

    |

  8. Given that f'(x) > g'(x) for all real x, and f(0)=g(0). Then f(x) < ...

    Text Solution

    |

  9. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

    Text Solution

    |

  10. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |

  11. Find the length of tangent to the curve y=4x^3-2x^5 at (-1,1)

    Text Solution

    |

  12. The equation of the line tangent to the curve x siny + ysinx = pi at t...

    Text Solution

    |

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

    Text Solution

    |

  14. At any point on the curve 2x^2y^2-x^4=c , the mean proportional betwee...

    Text Solution

    |

  15. Given g(x) (x+2)/(x-1) and the line 3x+y-10=0. Then the line is

    Text Solution

    |

  16. If the length of sub-normal is equal to the length of sub-tangent at ...

    Text Solution

    |

  17. The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=yl...

    Text Solution

    |

  18. Tangent of acute angle between the curves y=|x^2-1| and y=sqrt(7-x^2) ...

    Text Solution

    |

  19. The line tangent to the curves y^3-x^2y+5y-2x=0 and x^2-x^3y^2+5x+2y=0...

    Text Solution

    |

  20. The two curves x=y^2,x y=a^3 cut orthogonally at a point. Then a^2 is ...

    Text Solution

    |