Home
Class 12
MATHS
Find the points of local maxima and loc...

Find the points of local maxima and local minima of the function `f(x)=2x^(2)-3x^(2)-12x+8`.

A

two points of local maximum

B

two points of local minimum

C

one maxima and one minima

D

no maxima or minima

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -1|102 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Level -2|69 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

Find the points of local maxima and local minima of the function f(x)=2x^(3)-3x^(2)-12x+8 .

Find all the points of local maxima and local minima of the function f(x)=x^3-6x^2+12 x-8.

Find all the points of local maxima and local minima of the function f(x)=x^3-6x^2+12 x-8 .

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

Find all the points of local maxima and minima of the function f(x)=x^3-6x^2+9x-8 .

Find all the points of local maxima and local minima of the function f(x)=(x-1)^3(x+1)^2 (a) 1,-1,-1/5 (b) 1,-1 (c) 1,-1/5 (d) -1,-1/5

Find all the points of local maxima and local minima of the function f given by f(x)=2x^3-6x^2+6x+5 .

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

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

Find the point of local maxima or local minima of the function f(x) = (sin^(4) x + cos^(4) x) " in " 0 lt x lt (pi)/(2)

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
  1. Find the points of local maxima and local minima of the function f(x...

    Text Solution

    |

  2. Let f,g : [-1,2] to be continuous functions which are twice different...

    Text Solution

    |

  3. Let f:Rrarr(0,oo)andg:RrarrR be twice differentiable functions such th...

    Text Solution

    |

  4. If f:R is a differentiable fucntion such that f(x) gt 2f(x) for all x...

    Text Solution

    |

  5. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is ver...

    Text Solution

    |

  6. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

    Text Solution

    |

  7. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  8. If the function g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2)) is given by g(u)=...

    Text Solution

    |

  9. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

    Text Solution

    |

  10. The length of the longest interval in which the function 3sinx-4sin^3x...

    Text Solution

    |

  11. If f(x)=xe^(x(1-x)), then f'(x) is

    Text Solution

    |

  12. The function f(x)=sin^4x+cos^4x increasing if 0<x<pi/8 (b) pi/4<x<(3p...

    Text Solution

    |

  13. If f(x)=x/(sinx) \ a n d \ g(x)=x/(tanx),w h e r e \ 0ltxlt=1, then in...

    Text Solution

    |

  14. The function f(x)=(log (pi+x))/(log (e+x))," is "

    Text Solution

    |

  15. Let fa n dg be increasing and decreasing functions, respectively, from...

    Text Solution

    |

  16. Let f:(0,oo) in R be given f(x)=overset(x)underset(1//x)int e^(t+(1)...

    Text Solution

    |

  17. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real number xdot Then (a) h ...

    Text Solution

    |

  18. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  19. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

    Text Solution

    |

  20. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  21. The total number of local maxima and local minima of the function f...

    Text Solution

    |