Home
Class 12
MATHS
Let I RvecI R be defined as f(x)=|x|++x^...

Let `I RvecI R` be defined as `f(x)=|x|++x^2-1|dot` The total number of points at which `f` attains either a local maximum or a local minimum is_______

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|36 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

Let f:R->R be defined as f(x)=|x|+|x^2-1|dot The total number of points at which f attains either a local maximum or a local minimum is_______

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

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

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

Find the local maximum and local minimumof f(x)=x^(3)-3x in [-2,4].

Let f(x)=x(x-1)^(2), find the point at which f(x) assumes maximum and minimum.

Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and local minimum of f(x)dot

Let f be a function defined on R (the set of all real numbers) such that f^(prime)(x)=2010(x-2009)(x-2010)^2(x-2011)^3(x-2012)^4, for all x in Rdot If g is a function defined on R with values in the interval (0,oo) such that f(x)=ln(g(x)), for all x in R , then the number of point is R at which g has a local maximum is ___

Let f be a function defined on R (the set of all real numbers) such that f^(prime)(x)=2010(x-2009)(x-2010)^2(x-2011)^3(x-2012)^4, for all x in Rdot If g is a function defined on R with values in the interval (0,oo) such that f(x)=ln(g(x)), for all x in R , then the number of point is R at which g has a local maximum is ___

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

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
  1. about to only mathematics

    Text Solution

    |

  2. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |

  3. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

    Text Solution

    |

  4. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  5. The number of distinct real roots of x^(4) - 4x^(3) + 12 x^(2) + x - ...

    Text Solution

    |

  6. Let f be a function defined on R (the set of all real numbers) such th...

    Text Solution

    |

  7. The maximum value of the expression 1/(sin^2theta+3sinthetacostheta+5c...

    Text Solution

    |

  8. The maximum value of the function f(x)=2x^3-15 x^2+36 x-48 on the set ...

    Text Solution

    |

  9. A cylindrical container is to be made from certain solid material with...

    Text Solution

    |

  10. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

    Text Solution

    |

  11. Let C be the curve y^(3) - 3xy + 2 =0. If H is the set of points on th...

    Text Solution

    |

  12. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0),f(1)=6a n...

    Text Solution

    |

  13. if |f(x1)-f(x2)|<=(x1-x2)^2Find the equation of tangent to the curve y...

    Text Solution

    |

  14. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

    Text Solution

    |

  15. Tangent at a point P(1) [other than (0,0)] on the curve y=x^(3) meets ...

    Text Solution

    |

  16. Find the equation of the normal to the curve y=(1+x)^y+sin^(-1)(s i...

    Text Solution

    |

  17. Find the equation of tangents to the curve y=cos(x+y),-2pilt=xlt=2pi t...

    Text Solution

    |

  18. The set of all x for which log(1+ x) le x is equal to …… .

    Text Solution

    |

  19. The function y=2x^2-log(x) is monotonically increasing for values of x...

    Text Solution

    |

  20. Prove that for x in [0, (pi)/(2)], sin x + 2x ge (3x(x + 1))/(pi).

    Text Solution

    |