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

Let f(x) be a function defined as below :
`f(x)=sin(x^(2)-3x) ,x le 0`
`=6x+5x^(2), x gt 0`
then at x=0 ,f(x)

A

has a local maximum

B

has a local minimum

C

is discontinuous

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF DERIVATIVES

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • APPLICATION OF INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT BUILDER|30 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a function defined as f(x)={{:(sin(x^2-3x)", "xle0),(6x+5x^2", "xgt0):} Then at x=0,f(x)

Let f(x) be a function defined as follows: f(x)=sin(x^(2)-3x),x 0 Then at x=0,f(x) has a local maximum has a local minimum is discontinuous (d) none of these

Let f be a function defined by f(x) = 2x^(2) - log |x|, x ne 0 then

Let f(x) be a function defined as f(x)={{:(,int_(0)^(x)(3+|t-2|),"if "x gt 4),(,2x+8,"if "x le 4):} Then, f(x) is

If f (x) =x ^(2) -6x + 9, 0 le x le 4, then f(3) =

Let f:RrarrR be function defined by f(x)={(sin(x^2)/2, ifx!=0),(0,if x=0):} Then, at x=0, f is

let f(x) = {:{( x^(2) , x le 0) , ( ax , x gt 0):} then f (x) is derivable at x = 0 if

DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
  1. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  2. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  3. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

    Text Solution

    |

  4. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  5. A cylindrical gas container is closed at the top and open at the ...

    Text Solution

    |

  6. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  7. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  8. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  9. A ball is dropped from a platform 19.6 m high. Its position function i...

    Text Solution

    |

  10. The diagonal of square is changing at the rate of 0.5 cms^(-1). Then t...

    Text Solution

    |

  11. A stone is dropped into a quiet lake and waves move in circles at a sp...

    Text Solution

    |

  12. If a circular plate is heated uniformly, its area expands 3c times as ...

    Text Solution

    |

  13. A spherical iron ball 10 cm in radius is coated with a layer of ice of...

    Text Solution

    |

  14. A ladder is resting with the wall at an angle of 30^circ. A man is asc...

    Text Solution

    |

  15. For the curve y=5x-2x^(3), if x increases at the rate of 2units/sec, t...

    Text Solution

    |

  16. An edge of a variable cube is increasing at the rate of 10 cm/s. How f...

    Text Solution

    |

  17. The altitude of a cone is 20 cm and its semi-vertical angle is 30^@. I...

    Text Solution

    |

  18. The aproximate value of square root of 25.2 is

    Text Solution

    |

  19. The possible percentage error in computing the parallel resistance R o...

    Text Solution

    |

  20. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |