Home
Class 12
MATHS
Find the points of local maxima or m...

Find the points of local maxima or minima of following functions
(i) `f(x) = (x-1)^(3) (x+2)^(2)`
(ii) `f(x) =x^(3) +x^(2) +x+1.`

Text Solution

Verified by Experts

The correct Answer is:
(i) Maxima at x=-2 minima at `x=-(4)/(5)`
(ii) No point of local maxima or minima.
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

Find the points of local maxima or minima of following functions f(x)=(x-1)^(3)(x+2)^(2)

Find the points of local maxima or minima of f(x)=sin2x-x

Find the points of local maximinima of following functions (i) f(x) =(2'-1)(2'-2)^(2) " "(ii) f(x) =-(x-1)^(3) (x+1)^(2) (iii) f(x) =xenx

Find all the points of local maxima and local minima of the function f(x)=(x-1)^(3)(x+1)^(2)

Find the points of local maxima and minima of the function f(x)=x^(2)-4x .

Find the maxima and minima of the following functions : f(x)=x^(2) In x ,

Find the points of local maxima/minima of function f(x) = x ln x

The points of local maxima or local minima of the function f(x) = x^(3) + x^(2) + x + 1 are:

Find the points of local maxima and minima of the function f given by f(x)= x^(3)-12x^(2)+36x+5 .

RESONANCE-APPLICATION OF DERIVATIVES-Self Practice Problems
  1. For each of the following graph comment on monotonically of f(x) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. if a function f is (i) continuous on [a,b] (ii) derivable on (a,b...

    Text Solution

    |