Home
Class 12
MATHS
The critical points of the function f(x)...

The critical points of the function `f(x)=(x-2)^(2/3)(2x+1)` are

A

`-1, 2`

B

`1,-1/2`

C

1, 2

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise GOVERNMENT EXAM QUESTIONS|7 Videos
  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS)|5 Videos
  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS )|5 Videos

Similar Questions

Explore conceptually related problems

Find the critical points(s) and stationary points (s) of the function f(x)=(x-2)^(2//3)(2x+1)

At x=3/2 the function f(x)=(|2x-3|)/(2x-3) is

Find the critical (stationary ) points of the function f(X)= (x^(5))/(20)-(x^(4))/(12) +5Name these points .Also find the point of inflection

The domain of the function f(x)=(log)_(3+x)(x^2-1) is

Domain of the function f(x)= sin^(- 1)(1+3x+2x^2)

The range of the function f(x) = (x^2 -x+1)/(x^2 +x+1) where x in R , is

Find the range of the function f(x)=(1)/(2+sin3x) .

Which of the following hold(s) good for the function f(x)=2x-3x^(2/3)? (a) f(x) has two points of extremum. (b) f(x) is convave upward AAx in Rdot (c) f(x) is non-differentiable function. (d) f(x) is continuous function.

If the function f(x)=sin^(-1)(x^(2)-3)" then "x belongs to

The domain of the function f(x)=sin^(-1)((8(3)^(x-2))/(1-3^(2(x-1)))) is

SURA PUBLICATION-APPLICATIONS OF DIFFERENTIAL CALCULUS-ADDITIONAL QUESTIONS
  1. The least value of a when f(x)=x^(2)+ax+1 is increasing on (1, 2) is

    Text Solution

    |

  2. The value of lim(xto oo)e^(-x) is

    Text Solution

    |

  3. The critical points of the function f(x)=(x-2)^(2/3)(2x+1) are

    Text Solution

    |

  4. The equation of the tangent to the curve x=tcost,y=tsint at the origin...

    Text Solution

    |

  5. In LMV theorem, we have f'(x(1))=(f(b)-f(a))/(b-a)" then "altx(1)

    Text Solution

    |

  6. If the slope of the curve 2y^(2)=ax^(2)+b at (1, -1) is -1, then the v...

    Text Solution

    |

  7. If the curves y=2e^(x)andy=ae^(-x) intersect orthogonally, then a =

    Text Solution

    |

  8. The function -3x + 12 is function on R.

    Text Solution

    |

  9. The function f(x)=x^(9)+3x^(7)+64 is increasing on

    Text Solution

    |

  10. If x + y = 8, then the maximum value of xy is

    Text Solution

    |

  11. The curve y=e^(x) is

    Text Solution

    |

  12. lim(xto0)x/(tanx) is

    Text Solution

    |

  13. The statement ''If f has a local extremum at c and if f'( c) exists th...

    Text Solution

    |

  14. Identify the incorrect statement.

    Text Solution

    |

  15. Identify the false statement

    Text Solution

    |

  16. A particle moves in a line so that so that x=sqrtt. Show that the acce...

    Text Solution

    |

  17. A man 2 m high walks at a uniform speed of 5km/hr away from a lamp pos...

    Text Solution

    |

  18. At what point on the curve y=x^(2) on [-2, 2] is the tangent parallel ...

    Text Solution

    |

  19. Find the maximum and minimum values of f(x)=|x+3|AAx inRR.

    Text Solution

    |

  20. Find the intervals of increasing and decreasing function for f(x)=x^(3...

    Text Solution

    |