Home
Class 12
MATHS
The points of extremum of phi (x)=int(1)...

The points of extremum of `phi (x)=int_(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt` are

A

x=0,1

B

x=1,-1

C

x=`1//2`

D

`x=-1//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos
  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos
  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

The poins of extremum of phi(x)=underset(1)overset(x)inte^(-t^(2)//2) (1-t^(2))dt are

According to Leibritz differentiation under the sign of integration can be performed as as below. (i) (d)/(dx)[int_(phi(x))^(Psi(x))f(t)dt]=f{Psi(x)}xx(d)/(dx){Psi(x)}-f{phi(x)}xx(d)/(dx){phi(x)} (ii) (d)/(dx)[int_(phi(x))^(Psi(x))f(x,t)dt]=int_(phi(x))^(Psi(x))(del)/(delx)(f(x,t)dt)+f(x,Psi(x))xx(d)/(dx)Psi(x)-f(x,phi(x))xx(d)/(dx)(phi(x)) The points of maximum of the function f(x)=int_(0)^(x^(2))(t^(2)-5t+4)/(2+e^(t))dt

Find the interval of increase or decrease of the f(x)=int_(-1)^(x)(t^(2)+2t)(t^(2)-1)dt

Let f(x)=int_(1)^(x)(3^(t))/(1+t^(2))dt , where xgt0 , Then

If f(x)=int_(2)^(x)(dt)/(1+t^(4)) , then

Find the value of ln(int_(0)^(1) e^(t^(2)+t)(2t^(2)+t+1)dt)

The points of extremum of underset(0)overset(x^(2))int (t^(2)-5t+4)/(2+e^(t))dt are

The interval in which f(x)=int_(0)^(x){(t+1)(e^(t)-1)(t-2)(t-4)} dt increases and decreases

lim_(x to 0)(int_(0^(x) x e^(t^(2))dt)/(1+x-e^(x)) is equal to

Find the points of minima for f(x)=int_0^x t(t-1)(t-2)dt

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Exercise
  1. If ax+b/x >= c for all positive x, where a, b, c > 0, then-

    Text Solution

    |

  2. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

    Text Solution

    |

  3. The points of extremum of phi (x)=int(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt...

    Text Solution

    |

  4. Let f(x)=int0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has

    Text Solution

    |

  5. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  6. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

    Text Solution

    |

  7. The minimum value of (x-a)(x-b) is

    Text Solution

    |

  8. The altitude of a right circular cone of minimum volume circumscired a...

    Text Solution

    |

  9. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  10. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  11. In a triangleA B C ,/B=90^0 and b+a=4. The area of the triangle is ma...

    Text Solution

    |

  12. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

    Text Solution

    |

  13. Maximum area of a reactangle which can be inscribed in a circle of a...

    Text Solution

    |

  14. If f(x)={:{(3x^2+12x-1"," -1le x le2),(37-x ","2 lt x le 3):} then

    Text Solution

    |

  15. The perimeter of a sector is p. The area of the sector is maximum when...

    Text Solution

    |

  16. If a^(2)x^(4)b^(2)y^(4)=c^(6)(a,b,x,y,cgt0) then the maximum value of ...

    Text Solution

    |

  17. The function int(-1)^(x)t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has local mini...

    Text Solution

    |

  18. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

    Text Solution

    |

  19. Let a,b,c be positive real parameter and ax^2+ b/x^2gec, AA xepsilonR ...

    Text Solution

    |

  20. If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the ...

    Text Solution

    |