Home
Class 12
MATHS
Show that the function f(x)=4x^3-18x^2+2...

Show that the function `f(x)=4x^3-18x^2+27x-7` has neither local maxima and local minima

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

Show that the function f(x) = 2/3 x^3-6x^2+20x-5 has neither a maximum nor a minimum value.

Show that the function f(x)=(2)/(3)x^(3)-6x^(2)+20x-5 has neither a maximum nor a minimum value.

Show that the function f(x) = log x has neither a maximum nor a minium value.

Find the points at which the function f given by f(x)=x^3-3x has local minima and local maxima.

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.

All the possible values of the paramter 'a' so that the function , f(x) =x^3-3(7-a)x^2-3(9-a^2)x+2, has a negative point of local minimum

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

Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 has local maxima local minima point of inflexion

Find the points at which the function f given by f(x)=(x-5)^4 has local minima and find the local minimum value.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Prove that f(x)=(sinx)/x is monotonically decreasing in [0,pi/2]dot

    Text Solution

    |

  2. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

    Text Solution

    |

  3. Show that the function f(x)=4x^3-18x^2+27x-7 has neither local maxima ...

    Text Solution

    |

  4. The angle formed by the positive y - axis and the tangent to y=x^2+4x-...

    Text Solution

    |

  5. Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

    Text Solution

    |

  6. The abscissa of the point on the curve sqrt(x y)=a+x the tangent at wh...

    Text Solution

    |

  7. Find the derivative of the function given by f(x)=(4sinx-2x-xcosx)/(2+...

    Text Solution

    |

  8. The coordinates of the point(s) on the graph of the function f(x)=(x^3...

    Text Solution

    |

  9. Let f:[a-> b] be a function such that for c in (a , b),f^(prime)(c)=f^...

    Text Solution

    |

  10. Which of the following pair(s) of curves is/are orthogonal?

    Text Solution

    |

  11. If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...

    Text Solution

    |

  12. Let the parabolas y=x(c-x)a n dy=x^2+a x+b touch each other at the poi...

    Text Solution

    |

  13. Prove that the following functions are strictly increasing: f(x)=log(1...

    Text Solution

    |

  14. Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...

    Text Solution

    |

  15. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

    Text Solution

    |

  16. If there is an error of k % in measuring the edge of a cube, then the...

    Text Solution

    |

  17. Prove that the function f(x)=(log)e(x^2+1)-e^(-x)+1 is strictly increa...

    Text Solution

    |

  18. The rate of change of the volume of a sphere w.r.t. its surface area, ...

    Text Solution

    |

  19. Prove that the function are increasing for the given intervals: f(x)=s...

    Text Solution

    |

  20. A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. ...

    Text Solution

    |