Home
Class 12
MATHS
The function f(x)=oversetxunderset(-1)in...

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 =

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

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

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

Let f:(0,oo)rarrRR be given by f(x)=oversetxunderset(1/x)inte^((t+1/t))dt/t 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

Investigate for maxima and minima of the function f(x) =int_(1)^(x)[2(t-1)(t-2)^(3)+3(t-1)^(2)(t-2)^(2)]dt .

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

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

    Text Solution

    |

  2. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  3. The function f(x)=oversetxunderset(-1)intt(e^t-1)(t-1)(t-2)^3(t-3)^5 d...

    Text Solution

    |

  4. Let f:IRrarrIR be defined as f(x)=|x|+|x^2-1|.The total number of poin...

    Text Solution

    |

  5. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  6. Find the current through an ideal p- n junction diode asshown is figur...

    Text Solution

    |

  7. Given that E and F are events such that P (E) = 0.6, P (F) = 0.3 and P...

    Text Solution

    |

  8. Let a in R and let f: R be given by f(x)=x^5-5x+a , then (a) f(x) ...

    Text Solution

    |

  9. Match the statement/expressions in Column I with the open intervals in...

    Text Solution

    |

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

    Text Solution

    |

  11. f(x) is cubic polynomial with f(x)=18 and f(1)=-1 . Also f(x) has loca...

    Text Solution

    |

  12. f(x)={(c^x ,,0lexle1),(2-c^(x-1) , ,1ltxlt=2),( x-c ,,2ltxlt=3):}, and...

    Text Solution

    |

  13. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  14. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  15. Statement 1: Let f(x)=5-4(x-2)^(2/3)dot Then at x=2, the function f...

    Text Solution

    |

  16. Let f: RvecR be differentiable and strictly increasing function throug...

    Text Solution

    |

  17. The function defined by f(x)=(x+2)e^(-x) is decreasing for all x decr...

    Text Solution

    |

  18. Statement 1: If f(x) is an odd function, then f^(prime)(x) is an even ...

    Text Solution

    |

  19. Prove that f(x)=a^x, 0<a<1, is decreasing in R.

    Text Solution

    |

  20. Assertion Consider the following statements in S and R S: Both sinx a...

    Text Solution

    |