Home
Class 12
MATHS
The function f(x)=underset(-1)overset"x"...

The function `f(x)=underset(-1)overset"x"intt(e^t-1)(t-1)(t-2)^3(t-3)^5` dt has a local minimum at 'x' equal to

A

a)0

B

b)1

C

c)2

D

d)3

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=oversetxunderset(-1)intt(e^t-1)(t-1)(t-2)^3(t-3)^5 dt has a local maximum at x =

The points for which the function f(x)=underset1overset"x"int{2(t-1)(t-2)^3+3(t-1)^2(t-2)^2} dt attins maxima and minima is :

if f(x)oversetxunderseto(int)e^(t^2)(t-2)(t-3)dt for all x in(0,oo) , then

The function f(x) =int_0^xsqrt(1-t^4) dt is such that

In -4 lt x lt 4 , the function f(x)= int_(-10)^(x) (t^(4)-4)e^(-4t) dt has-

Let f(x)=int_0^xe^t(t-1)(t-2)dt , Then f decreases in the interval

f(x) is polynomial function of degree 6, which satisfies ("lim")_(x_vec_0)(1+(f(x))/(x^3))^(1/x)=e^2 and has local maximum at x=1 and local minimum at x=0a n dx=2. then 5f(3) is equal to

If f(x) is a differentiable function in the interval (0, oo) such that f(1)=1 and underset(t to x)lim(t^(2)f(x)-x^(2)f(t))/(t-x)=1 , for each x gt 0 then f((3)/(2)) is equal to

If f(x)=x+int_0^1t(x+t)f(t) dt ,then the value of 23/2f(0) is equal to _________

The interval in which f(x) defined by f(x) = int_(-1)^x (t^2+2t)(t^2-1) dt increases

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. If f'(x)= x and f(1)=3, find f(x)

    Text Solution

    |

  2. The interval to which 'b' may belong so that the function f(x)=(1-(sqr...

    Text Solution

    |

  3. The function f(x)=underset(-1)overset"x"intt(e^t-1)(t-1)(t-2)^3(t-3)^5...

    Text Solution

    |

  4. If a line is tangent to one point and normal at another point on the c...

    Text Solution

    |

  5. Let f'(x)gt0 and g'(x)lt0 for all x in R, then

    Text Solution

    |

  6. If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

    Text Solution

    |

  7. Let f(x)=(x-1)^m(x-2)^n,"x"inR then each critical point of f(x) is eit...

    Text Solution

    |

  8. The difference between the greatest and least values of the function f...

    Text Solution

    |

  9. For f(x)=int0^x2|t| dt ,the tangent lines which are parallel to the b...

    Text Solution

    |

  10. Let x^3+ax^2+bx+c be the given cubic polynomlal and f(x) = 0 be the co...

    Text Solution

    |

  11. Let x^3+ax^2+bx+c be the given cubic polynomlal and f(x) = 0 be the ...

    Text Solution

    |

  12. Let f and g are two functions such that f(x) and g (x)are connuous in ...

    Text Solution

    |

  13. Let f and g are two functions such that f(x) and g (x)are connuous in ...

    Text Solution

    |

  14. If f(x) = 1/(1+x), then find f[f{f(x)}].

    Text Solution

    |

  15. If f(x)=4^x/(4^x-2) then find the value f(x)+f(1-x).

    Text Solution

    |

  16. The number of disitinct real roots of x^4-4x^3+12x^2+x-1=0 is

    Text Solution

    |

  17. The maximum value of the expression1/(sin^2theta+3sinthetacostheta+5co...

    Text Solution

    |

  18. Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):} then number o...

    Text Solution

    |

  19. Let p(x)be a polynomial of degree 4 having extremum at x = 1,2 and lim...

    Text Solution

    |

  20. Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...

    Text Solution

    |