Home
Class 12
MATHS
Let f(x)=x^3-3x^2+ 3x + 4, comment on th...

Let `f(x)=x^3-3x^2+ 3x + 4`, comment on the monotonic behaviour of `f(x)` at `x=0` `x=1`

Text Solution

Verified by Experts

The correct Answer is:
M.I both at x=0 and x=1
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1A|5 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1B|6 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^(3)-3x^(2)+3x+4, comment on the monotonic behaviour of f(x) at x=0x=1

Draw the graph of function f(x)={x,0<=x<=1 and [x],1<=x<=2 Graphically comment on the monotonic behaviour of f(x) at x=0,1,2. Is f(x) M.I. for x in{0,2]?

Let f(x)=x^3+3/2x^2+3x+3 , then f(x) is

Let f(x) =x^(3)-3x +2. Examine the monotonicity of function at points x=0.1,2

check monotonicity of f(x) at x=0f(x)=x^(3)+2x^(2)+5x,x =0

Let f (x) =x^(3) . Find the intervals of monotonicity.

Let f(x)= x^4- 3x^3 + 2x^2-3x+ a .If f(sqrt-1)= 0 and a in R then prove that f (x) < 0 for x in (1,2) .

Let f(x) ={underset( 3 sin x " " x le 0)(X^(3) +X^(2) -10X " " X lt0). Examine the behaviour of f(x) at =0

RESONANCE-APPLICATION OF DERIVATIVES-Self Practice Problems
  1. Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-...

    Text Solution

    |

  2. For each of the following graph comment on monotonically of f(x) ...

    Text Solution

    |

  3. Let f(x)=x^3-3x^2+ 3x + 4, comment on the monotonic behaviour of f(x) ...

    Text Solution

    |

  4. Draw the graph of function f(x)={underset([x] " "1 le x le 2)(x " ...

    Text Solution

    |

  5. In each of following graphs identify if x= a is point of local maxi...

    Text Solution

    |

  6. Examine the graph of following functions in each case identify the p...

    Text Solution

    |

  7. Find the points of local maxima or minima of following functions...

    Text Solution

    |

  8. Let f(x) =x^(3) =x^(2) -x-4 (i) find the possible points of maxim...

    Text Solution

    |

  9. Let f(x) =x +(1)/(x). find local maximum and local minimum value ...

    Text Solution

    |

  10. if f(x) ={underset( cos x " "x le 0)((x+lambda)^(2) " " x lt 0). ...

    Text Solution

    |

  11. Let f(x) = sin x (1+cos x) , x in (0,2pi). Find the number of criti...

    Text Solution

    |

  12. Find the two positive numbers x and y whose sum is 35 and the ...

    Text Solution

    |

  13. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

  14. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

  15. The maximum distance of the centre of the ellipse x^2/(81)+y^2/(25)=1 ...

    Text Solution

    |

  16. A line is drawn passing through point P(1,2) to cut positive coord...

    Text Solution

    |

  17. Two towns A and B are situated on the same side of a straight road at ...

    Text Solution

    |

  18. if f (x) satisfies condition in Rolle's theorem then show that betw...

    Text Solution

    |

  19. Show that for any real numbers lambda, the polynomial P(x)=x^7+x^3+lam...

    Text Solution

    |

  20. Using LMVT, prove that if two functions have equal derivatives at all ...

    Text Solution

    |