Home
Class 12
MATHS
Let f(x) be a function defined as follow...

Let `f(x)` be a function defined as follows: `f(x)=sin(x^2-3x),xlt=0; a n d6x+5x^2,x >0` Then at `x=0,f(x)` (a)has a local maximum (b)has a local minimum (c)is discontinuous (d) none of these

A

Ha a local maximum

B

Has a local minimum

C

Is discontinuous

D

Point of inflexion

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; and 6x+5x^2,x >0 Then at x=0,f(x) (a) has a local maximum (b) has a local minimum (c) is discontinuous (d) none of these

If f(x)={(sin(x^(2)-3x),xle0 6x+5x^(2),xgt0 then at x=0, f(x) is?

Let f(x)=sinx-x" on"[0,pi//2] find local maximum and local minimum.

Let f(x)=x^(3) find the point at which f(x) assumes local maximum and local minimum.

The function f(x) = (x)/( 2) + (2)/( x) has a local minimum at

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

Let f(x)=x^3+3x^2-9x+2 . Then, f(x) has a maximum at x=1 (b) a minimum at x=1 (c) neither a maximum nor a minimum at x=-3 (d) none of these

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

Find the local maximum and local minimum value of f(x)=secx+logcos^2x ,0ltxlt2pi

Let f(x) be a function defined by f(x) = {{:((3x)/(|x|+2x),x ne 0),(0,x = 0):} Show that lim_(x rarr 0) f(x) does not exist.

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  2. If f(x)=x.e^(x(1-x), then f(x) is

    Text Solution

    |

  3. Which of the following is correct ?

    Text Solution

    |

  4. Find the value of a, if the equation x-sinx=a has a unique root ...

    Text Solution

    |

  5. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

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

    Text Solution

    |

  7. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

  8. Let f(x)=(x-a)^2+(x-b)^2+(x-c)^2dot Then, f(x) has a minimum at x= (a...

    Text Solution

    |

  9. The maximum value of ((1)/(x))^(2x^(2)) is

    Text Solution

    |

  10. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...

    Text Solution

    |

  11. If x in [-1,1] then the minimum value of f(x)=x^(2)+x+1 is

    Text Solution

    |

  12. If ax+(b)/(x) ge c, AA a gt 0 and a,b,c are positive constant then

    Text Solution

    |

  13. The number which exceeds its square by the greatest possible quanti...

    Text Solution

    |

  14. The point (0,3) is nearest to the curve x^(2)=2y at

    Text Solution

    |

  15. Let f(x) be a function defined as follows: f(x)=sin(x^2-3x),xlt=0; a n...

    Text Solution

    |

  16. If lambda, mu are real numbers such that , x^(3)-lambdax^(2)+mux-6=0 h...

    Text Solution

    |

  17. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  18. If a, b, c, d are real numbers such that (3a + 2b)/(c+d)+3/2=0 the...

    Text Solution

    |

  19. If the least area of triangle formed by tangent,normal at any point P ...

    Text Solution

    |

  20. Let f''(x) gt 0 AA x in R and let g(x)=f(x)+f(2-x) then interval of ...

    Text Solution

    |