Home
Class 12
MATHS
Least value of the function , f(x)=2^(x...

Least value of the function , `f(x)=2^(x^2)-1+2/(2^(x^2)+1)` is :

A

0

B

`3//2`

C

`2//3`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 2 (LEVEL - II)|15 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 3|32 Videos
  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -1 (SECTION- F )|2 Videos
  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

Similar Questions

Explore conceptually related problems

least value of the function f(x)=2x^(3)-3x^(2)-12x+1 on [-2,2.5]

Range of the function f(x) = (1-x^2)/(1+x^2) is

Range of the function f(x)=x^(2)+(1)/(x^(2)+1) is

The greatest, the least values of the function , f(x) =2-sqrt(1+2x+x^(2)), x in [-2,1] are respectively

Difference between the greatest and the least values of the function f(x)=x(In x-2) on [1,e^(2)] is

The least value of the function f(x)=2.3^(3x)-4.(3)^(2)x+3.3^(x) in [-1,1] is

The range of the function f(x)=x^(2)+(1)/(x^(2)+1) is

The greatest and the least value of the function, f(x)=sqrt(1-2x+x^(2))-sqrt(1+2x+x^(2)),x in(-oo,oo) are

If yR' is the least value of 'a' such that the function f(x) = x^(2) + ax +1 is increasing on [1, 2] and 'S' is the greatest value of ' a' such that the function f(x) = x^(2) + ax +1 is decreasing on [1, 2], then the value of |R — S| is_____________

If the range of the function f(x)= cot^(-1)((x^(2))/(x^(2)+1)) is (a, b), find the value of ((b)/(a)+2) .

MOTION-MAXIMA AND MINIMA -EXERCISE -2 (LEVEL- I)
  1. The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , whe...

    Text Solution

    |

  2. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  3. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  4. Which of the following point lying on the line x + 2y = 5 is at minimu...

    Text Solution

    |

  5. The maximum distance of the point (a, 0) from the curve 2x^(2) + y^(2)...

    Text Solution

    |

  6. The point on the line y = x such that the sum of the squares of its di...

    Text Solution

    |

  7. if the complete set of values (s) of 'a' for which the function f (x)...

    Text Solution

    |

  8. If the point (1,3) serves as the point of inflection of the curve y =...

    Text Solution

    |

  9. The equation x^(3) - 3x + [a] = 0 , will have three real and distinct ...

    Text Solution

    |

  10. Solution(s) of the equation. 3x^2-2x^3 = log2 (x^2 + 1) - log2 x is/ar...

    Text Solution

    |

  11. Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive po...

    Text Solution

    |

  12. If the function f(x) = x^3-9x^2 +24x + c has three real and distinct r...

    Text Solution

    |

  13. A and B are the points (2, 0) and (0, 2) respectively. The coordinates...

    Text Solution

    |

  14. Two points A(1, 4) & B(3, 0) are given on the ellipse 2x^(2) + y^(2) =...

    Text Solution

    |

  15. Least value of the function , f(x)=2^(x^2)-1+2/(2^(x^2)+1) is :

    Text Solution

    |

  16. The coordinate of the point at which minimum value of Z = 7x - 8y, sub...

    Text Solution

    |

  17. Maximum and minimum value of f(x) = max (sin t), 0 lt t lt x le 0 x l...

    Text Solution

    |

  18. If a^2x^4+b^2y^4=c^6, then the maximum value of x y is (c^2)/(sqrt(a b...

    Text Solution

    |

  19. Let f(x) =sin ({x})/(a) + cos ({x})/(a) where a gt 0 and {.} denotes t...

    Text Solution

    |

  20. The maximum value of f(x) , if f(x) + f ((1)/(x)) = (1)/(x) , x in ...

    Text Solution

    |