Home
Class 12
MATHS
If f(x)={{:(x^2,xlt=0) , (2sinx ,x >0):}...

If `f(x)={{:(x^2,xlt=0) , (2sinx ,x >0):}' .Investigate the function at , `x=0` for maxima/minima

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

f(x) ={{:(0, x=0),(x-3, x gt 0):} The function f(x) is:

If f(x)={{:(x+sinx,"when "xlt0),(0,"when "xge0):} examine whether f(x) is continuous at x = 0.

Prove that the functions do not have maxima or minima: f(x) = e^(x)

If 0lexle2pi , the function f(x) = sinx is minimum at -

Prove that the functions do not have maxima or minima: g(x) = log x

f(x)={cos((pix)/2),x >0, x+a ,xlt=0 Find the values of a if x=0 is a point of maxima.

f(x)={{:(" "2,"when "xlt0),(2+sinx,"when "xge0):} Show that f (x) is continuous at x = 0 but f ' (0) does not exist.

If f(x) = {(|sinx|/x, when x=0),(1, when x!=0):} then examine the continuity of the function at x=0.

If f(x)={(x"sin"(1)/(x),"when "x ne 0),(0,"when "x =0):} then at x = 0, the function f(x) is -

If f(x)={{:((|sinx|)/(x),"when "xne0),(1,"when "x=0):} then examine the continuity of the function at x = 0.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. f(x)={cos((pix)/2),x >0, x+a ,xlt=0 Find the values of ...

    Text Solution

    |

  2. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

    Text Solution

    |

  3. If f(x)={{:(x^2,xlt=0) , (2sinx ,x >0):}' .Investigate the function at...

    Text Solution

    |

  4. If in a triangle ABC, the side c and the angle C remain constant while...

    Text Solution

    |

  5. If the function y=f(x) is represented as x=phi(t)=t^5-5t^3-20 t+7, ...

    Text Solution

    |

  6. Find the approximate value of(0. 0037)^(1/2) .

    Text Solution

    |

  7. Find the range fo the function f(x)=(x^(2)-x-6)/(x-3)

    Text Solution

    |

  8. Find the approximate value of (26)^(1/3) .

    Text Solution

    |

  9. Discuss the extremum of f(x)=asecx+bcos e cx ,0ltaltb

    Text Solution

    |

  10. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  11. Discuss the extrema of f(x)=x/(1+xtanx),x in (0,pi/2)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. In a triangle ABC if the sides a, b be constant and the base angles A ...

    Text Solution

    |

  15. If t is a real number satisfying the equation 2t^3-9t^2+30-a=0, then f...

    Text Solution

    |

  16. Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

    Text Solution

    |

  17. Prove that there exist exactly two non-similar isosceles triangles A B...

    Text Solution

    |

  18. If the radius of a sphere is measured as 9cm with an error of 0.03 cm,...

    Text Solution

    |

  19. Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot

    Text Solution

    |

  20. Find the approximate value of (1. 999)^6 .

    Text Solution

    |