Home
Class 12
MATHS
Find the values of x for which f(x) = x^...

Find the values of x for which `f(x)` = `x^4+2x^3-2x^2-6x+5` is locally maximum and minimum.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    SHARAM PUBLICATION|Exercise EXAMPLE|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    SHARAM PUBLICATION|Exercise EXAMPLE|156 Videos

Similar Questions

Explore conceptually related problems

Find the value of.x for which the function f(x) =x^4 — 4x^3 + 4x^2 - 1 is maximum or minimum.

Find the value of X for which f(X) is either a local maximum or a local minimum when f(X) = X^3-3X^2-9X+6 .

Find the points where f(x)=8x^2-x^4-4 has local maximum or minimum.

Find x for which the value of f(x) = x^2-4x+3 is -1.

For which value of x, the function f(x)=4-x-x^2 is maximum or minimum.

Find x for which the value of f(x) = x^2-4x+3 is 0.

Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum value.

Find the interval in which the function f(x) = 3x^4- 4x^3- 12x^2+ 5 is strictly increasing.

Show that for f(x) = x+1/x the local maximum is less than local minimum.

Find the set of value of x where the function f(x) = 2x^3 + 3x^2 - 36x -7 is increasing or decreasing.

SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. Find the altitude of a right circular cylinder of maximum volume inscr...

    Text Solution

    |

  2. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

    Text Solution

    |

  3. Find two numbers x and y whose sum is 15 such that xy^2 is maximum.

    Text Solution

    |

  4. Find the values of x for which f(x) = x^4+2x^3-2x^2-6x+5 is locally ma...

    Text Solution

    |

  5. Find the interval where y=sinx-cosx x in [0,2pi] is increasing.

    Text Solution

    |

  6. Find the maximum value of y=(1+cosx) sinx,xepsilon[0,(3pi)/(4)]

    Text Solution

    |

  7. Obtain the extreme point of f(x) = e^x (x^2-6x +9). As certain whether...

    Text Solution

    |

  8. Find the maximum of the function f(x)=(1/x)^x

    Text Solution

    |

  9. If a is positive, find the minimum value of(a+x)/sqrt(ax).

    Text Solution

    |

  10. Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...

    Text Solution

    |

  11. Mention the values of x for which the function f(x)= x^2 - 12x is incr...

    Text Solution

    |

  12. Find the interval for which the function f(x) = tanx- 4 (x- 2) is incr...

    Text Solution

    |

  13. What is thevalue of a for which the function f(x) = a sin x + 1/3sin 3...

    Text Solution

    |

  14. What is the maximum value of the function f(x)=sinx(1 + cos x) ?

    Text Solution

    |

  15. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  16. Find the coordinates of a point on the parabola y^2 = 8x which is at m...

    Text Solution

    |

  17. Find the difference between the greatest and least values of the funct...

    Text Solution

    |

  18. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  19. Find the approximate value of (26.9)^(1/3)

    Text Solution

    |

  20. Discuss the extreme value of the function y=(x+2)^4(x-1)^5

    Text Solution

    |