Home
Class 12
MATHS
Prove that the function f(x)=x^2-x+1 is ...

Prove that the function `f(x)=x^2-x+1` is neither increasing nor decreasing on `(-1,\ 1)` .

A

TTFT

B

FTFT

C

TFTF

D

TFFT

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-2 Part II|21 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-2 Part III|19 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1F|4 Videos
  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Prove that the function f(x)=cosx is neither increasing nor decreasing in (0,\ 2pi)

Prove that the function f defined by f(x)=x^2−x+1 is neither increasing nor decreasing in (−1,1) . Hence find the intervals in which f(x) is strictly increasing and strictly decreasing.

Show that the function x^2-x+1 is neither increasing nor decreasing on (0,\ 1) .

Show that the function f(x)=x^2 is neither strictly increasing nor strictly decreasing on R .

Show that f(x)=1/(1+x^2) is neither increasing nor decreasing on R .

Prove that the function f(x)=(2x-1)/(3x+4) is increasing for all x R.

The function f(x)=x^2-x+1 is increasing and decreasing in the intervals

Show that the function f(x) = 2x+1 is strictly increasing on R.

The function f(x)=log (1+x)-(2+x) is increasing in

Prove that the function f given by f(x)=x-[x] us increasing in (0,1)dot

RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. "Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0)...

    Text Solution

    |

  2. Minimum distance between the curves f(x)=e^x and g(x)=ln x is

    Text Solution

    |

  3. The point(s) on the parabola y^2 = 4x which are closest to the circlex...

    Text Solution

    |

  4. Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R , where ...

    Text Solution

    |

  5. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  6. If f(x)=|ax-b|+c|x| is stricly increasing at atleast one point of non ...

    Text Solution

    |

  7. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  8. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  9. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  10. Prove that the function f(x)=x^2-x+1 is neither increasing nor decr...

    Text Solution

    |

  11. Let f(x)=sin^3x+lambdasin^2x ,pi/2<x<pi/2dot Find the intervals in whi...

    Text Solution

    |

  12. "Let "f(x) ={underset(-2x + log(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 ...

    Text Solution

    |

  13. Four points A, B, C, D lie in that order on the parabola y = ax^2 +bx+...

    Text Solution

    |

  14. In a regular triangular prism the distance from the centre of one ...

    Text Solution

    |

  15. The maximum area of the rectangle whose sides pass through the vertice...

    Text Solution

    |

  16. Statement 1: ABC is given triangle having respective sides a,b,c. D,E,...

    Text Solution

    |

  17. if f(x)=(x -4) (x-5) (x-6) (x-7) then, (A) f'(x) =0 has four roots (...

    Text Solution

    |

  18. Show that the square roots of two successive natural numbers greater ...

    Text Solution

    |

  19. If Rolle's theorems applicable to the function f(x)=ln x/x, (x> 0) ove...

    Text Solution

    |

  20. if f(x) be a twice differentiable function such that f(x) =x^(2) " fo...

    Text Solution

    |