Home
Class 12
MATHS
If f(x)=x^5-5x^4+5x^3-10 has local maxim...

If `f(x)=x^5-5x^4+5x^3-10` has local maximum and minimum at `x=p and x=q` , respectively, then `(p , q)=` (a) `(0,1)` (b) (1,3) (c) (1,0) (d) none of these

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

f has a local maximum at x = a and local minimum at x = b. Then -

If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its maximum and minimum at p and q, respectively, such that p^2=q, then a equal to (a) 1 (b) 2 (c) 1/2 (d) 3

Show that (x^5-5x^4+5x^3-1) has a local maximum when x = 1, a local minimum when x = 3, and neither x = 0

If the function f(x)= 2x^(3)-9ax^(2) +12a^(2)x +1 , where a gt 0 attains its maximum and minimum at x=p and x=q respectively, such that p^(2)=q , then the value of a is-

The number of real solutions of the (log)_(0. 5)(x)=|x| is (a) 1 (b) 2 (c) 0 (d) none of these

The number of real solutions of the (log)_(0. 5)|x|=2|x| is (a) 1 (b) 2 (c) 0 (d) none of these

The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local minimum and local maximum values at x=-2 and x = 2 , respectively. If a is a root of x^2-x-6=0 , then find a,b,c and d.

If f(x) = x+ 1/x , x>0 then the greatest value of f(x) is (a) -2 (b)0 (c) 3 (d) none of these

The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c) x=0 (d) x=1

If the function f(x)=((128 a+a x)^(1/8)-2)/((32+b x)^(1/5)-2) is continuous at x=0 , then the value of a/b is (A) 3/5f(0) (B) 2^(8/5)f(0) (C) (64)/5f(0) (D) none of these

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. If a function f(x) has f^(prime)(a)=0 and f^(primeprime)(a)=0, then (...

    Text Solution

    |

  2. The minimum value of 2^((x^2-3)^3+27) is (a) 2^(27) (b) 2 (c) 1 (d...

    Text Solution

    |

  3. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=p and x=q ...

    Text Solution

    |

  4. The maximum value of ((logx)/x)is

    Text Solution

    |

  5. The function f(x)=(4sin^2x−1)^n (x^2−x+1),n in N, has a local minimum...

    Text Solution

    |

  6. Greatest value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  7. The equation e^(x-1)+x-2=0 as

    Text Solution

    |

  8. The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the i...

    Text Solution

    |

  9. If [.] denotes the greatest integer function then lim(x→0)​[x^2/(tanx....

    Text Solution

    |

  10. If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its m...

    Text Solution

    |

  11. The real number x when added to its inverse given the minimum value of...

    Text Solution

    |

  12. Statement 1: Let f(x)=sin(cos x) \ i n \ [0,pi/2]. Then f(x) is decr...

    Text Solution

    |

  13. Let f(x)=(x-1)^4(x-2)^n ,n in Ndot Then f(x) has (a) a maximum at x=1...

    Text Solution

    |

  14. Let f(x)=sinx+a x+bdot Then which of the following is/are true? (a) f...

    Text Solution

    |

  15. The number of points in (-oo,oo) for which x^2-xsinx-cosx=0 is

    Text Solution

    |

  16. The function f:[0,3]->[1,29], defined by f(x)=2x^3−15x^2+36x+1, is (a...

    Text Solution

    |

  17. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  18. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

    Text Solution

    |

  19. If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

    Text Solution

    |

  20. Let f and g be increasing and decreasing functions, respectively, fro...

    Text Solution

    |