Home
Class 12
MATHS
Find the number of critical points of f(...

Find the number of critical points of `f(x)=frac[abs(x-1)][x^2]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

Find the range of the function f(x)=frac[1][2-sin3x]

Find the number of local maxima and local minima points in f(x) = 2x^(3) - 3x^(2) - 12x + 4 .

Examine the continuity of the following functions at indicated points. f(x)={(frac{[x]}{x}ifxne0 at x=0),(0 if x=0):}

Test the differentiability and continuity of the following function at x=0: f(x)={[frac[1-e^(-x)][x],xne0], [1,x=0]:}

Show that the function f:RRrightarrowRR defined by f(x)={(x^2-frac[1][x^2], xne0),(0, x=0):} is onto but not one-to-one.

Examine the continuity of the following functions at indicated points. f(x)={((x^2-1)/(x-1)ifxne1 at x=1),(2if x=1):}

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Evaluate abs[[1,a,bc],[1,b,ca],[1,c,ab]]-abs[[1,a,b^2],[1,b,b^2],[1,c,...

    Text Solution

    |

  2. Find the inverse of the matrix [[1,2],[3,4]]

    Text Solution

    |

  3. Find the number of critical points of f(x)=frac[abs(x-1)][x^2]

    Text Solution

    |

  4. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

    Text Solution

    |

  5. Find the equation of the tangent to the curve x = y^2-1 at the point w...

    Text Solution

    |

  6. If y=sin^(-1)(x^3), then find that dy/dx

    Text Solution

    |

  7. If y=e^(x^(e^(x^(e^x)))), then find dy/dx.

    Text Solution

    |

  8. Evaluate int0^2abs(x^2+2x-3)dx

    Text Solution

    |

  9. Find the area of the region bounded by the curve y=sin^(3)x and the st...

    Text Solution

    |

  10. intdx/(1+tanx)

    Text Solution

    |

  11. Evaluate inte^(tan-1)x((1+x+x^2)/(1+x^2))dx.

    Text Solution

    |

  12. Find the solution of the following differential equations: (4x+6y+5)dx...

    Text Solution

    |

  13. Let veca,vecb,vecc be three vectors such that veca+vecb+vecc=vec0 and ...

    Text Solution

    |

  14. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

    Text Solution

    |

  15. Find the co-ordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  16. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

    Text Solution

    |

  17. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

    Text Solution

    |

  18. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

    Text Solution

    |

  19. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |

  20. Find frac[dy][dx] if y=([sinx+x^2]/[cot2x]).

    Text Solution

    |