Home
Class 12
MATHS
Show that the function F given by f(x)...

Show that the function F given by
`f(x)=x^3-3x^2+4x,x in R`
is strictly increasing

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

Find the intervals in which the function f given by f(x)=2x^2-3x is strictly increasing

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1,2)

Let I be any interval disjoint from [-1,1] . Prove that the function f given by f(x)=x+1/x is strictly increasing on I.

Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x+7 is Strictly Increasing.

Let I be any interval disjoint from (-1,1) Prove that the function f given by f(x)=x+(1/x) is strictly increasing on I .

Find the intervals in which the function f given by f(x)=4 x^3-6 x^2-72 x+30 is (a) strictly increasing (b) strictly decreasing.

Find the intervals in which the function f given by f(x)=2x^3-3x^2-36x+7 is Strictly Decreasing.

Prove that the function f given by f(x)=x^2-x+1 is neither strictly increasing nor strictly decreasing on ? (-1,1)

Prove that the function f given by f(x)=x^2-x+1 is neither strictly increasing nor strictly decreasing on (-1,1)

BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the slope of tangent line to the curve y=x^2-2x+1

    Text Solution

    |

  2. f(x) is a strictly increasing function, if f'(x) is........a)Positive...

    Text Solution

    |

  3. Show that the function F given by f(x)=x^3-3x^2+4x,x in R is stri...

    Text Solution

    |

  4. Find the slope of the tangent to the curve y=(x-2)^2 at x=1

    Text Solution

    |

  5. Find a point at which the tangent to the curve y=(x-2)^2 is parallel t...

    Text Solution

    |

  6. The slope of the normal to the curve, y^2=4x at (1,2) is

    Text Solution

    |

  7. Find the intervals in which the function 2x^3+9x^2+12x-1 is strictly i...

    Text Solution

    |

  8. The rate of change of volume of a sphere with respect to its radius wh...

    Text Solution

    |

  9. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

    Text Solution

    |

  10. The slope of the tangent to the curve given x=1-costheta,y=theta-sin...

    Text Solution

    |

  11. Find the intervals in which the function f(x)=x^2-4x+6 is strictly dec...

    Text Solution

    |

  12. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

    Text Solution

    |

  13. Which of the following function has neither local maxima nor local min...

    Text Solution

    |

  14. Find the equation of the tangent to the curve y=3x^2 at (1,1)

    Text Solution

    |

  15. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  16. Which of the following function is always increasing? a)x+sin2x b)x-s...

    Text Solution

    |

  17. The radius of a cylinder increases at a rate of 1 cm/s and its height ...

    Text Solution

    |

  18. Write the equation of tangent at (1,1) on the curve 2x^2+3y^2=5.

    Text Solution

    |

  19. Which of the following function is increasing for all values of x in i...

    Text Solution

    |

  20. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

    Text Solution

    |