Home
Class 12
MATHS
The function f(x)=x^(x) has a stationary...

The function f(x)=`x^(x)` has a stationary point at

A

x=e

B

`x=1/e`

C

x=1

D

`x=sqrte`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

x^(2x) has a stationary point at

The function f(x)=x^((1)/(3)) has stationary point at x=

The function f(x) = xe^(-x) has

The function f(x)=x+sinx has

The function g (x) = x^(x) has a critical point at

The function y=f(x)=mx+c has

The function f(x)=2[sgn(2x)]+2 has

The curve f(x)=(x^(2)+ax+6)/(x-10) has a stationary point at (4,1). Find the values of a and b Also,show that f(x) has point of maxima at this point.

Function f(x)=e^(x)+e^(-x) has

The function f(x)=x+(36)/(x),(x>0) has a minimum at

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. If G and L are the greatest and least values of the expression (x^(2)-...

    Text Solution

    |

  2. The maximum value of exp(2+sqrt3cosx+sinx) is

    Text Solution

    |

  3. The function f(x)=x^(x) has a stationary point at

    Text Solution

    |

  4. Show that the maximum value of (1/x)^x is e^(1/e)dot

    Text Solution

    |

  5. The height of the cylinder of the greatest volume that can be inscribe...

    Text Solution

    |

  6. The radius of the cylinder of maximum volume, which can be inscribed i...

    Text Solution

    |

  7. If a cone of maximum volume is inscribed in a given sphere, then th...

    Text Solution

    |

  8. Area of the greatest rectangle that can be inscribed in the ellipse x^...

    Text Solution

    |

  9. Suppose the cubic x^3-px+q has three real roots where pgt0 and qgt0 . ...

    Text Solution

    |

  10. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  11. Let f:""RvecR be defined by f(x)""={k-2x , if""xlt=-1 2x+3,f""x >-1} ....

    Text Solution

    |

  12. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

    Text Solution

    |

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

    Text Solution

    |

  14. If f(x)={{:(x",",0lexle1),(2-e^(x-1)",",1ltxle2),(x-e",",2ltxle3):} an...

    Text Solution

    |

  15. e total number of local maxima and local minima of the function f(x) =...

    Text Solution

    |

  16. Let f(x)=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f ...

    Text Solution

    |

  17. Given P(x) =x^(4) +ax^(3) +bx^(2) +cx +d such that x=0 is the only re...

    Text Solution

    |

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

    Text Solution

    |

  19. The points on the curve y=12x-x^3 at which the gradient is zero are

    Text Solution

    |

  20. The displacement of a particle at time t is x, where x=t^4-kt^3. IF th...

    Text Solution

    |