Home
Class 12
MATHS
In (-4,4) the function f(x)=int(-10)^x (...

In (-4,4) the function `f(x)=int_(-10)^x (t^2-4)e^(-4t) dt` , has

A

no extrema

B

one extremum

C

two extrema

D

four ectrema

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|47 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

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

Let f(x)=int_(2)^(x)f(t^(2)-3t+4)dt . Then

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

If f(x)=int_(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

Consider the function f(x)=int_(0)^(x)(5ln(1+t^(2))-10t tan^(-1)t+16sint)dt . f(x) is

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^2-3t+2)dt,x in [1,3] Then the range of f(x), is

Consider the function f(x)=int_(0)^(x)(5ln(1+t^(2))-10t tan^(-1)t+16sint)dt . Which is not true for int_(0)^(x)f(t)dt gt?

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^(2)-3t+2)dt,1ltxlt3 then the maximum value of f(x) is

For the functions f(x)= int_(0)^(x) (sin t)/t dt where x gt 0 . At x=n pi f(x) attains

(i) If f(x) = int_(0)^(sin^(2)x)sin^(-1)sqrt(t)dt+int_(0)^(cos^(2)x)cos^(-1)sqrt(t) dt, then prove that f'(x) = 0 AA x in R . (ii) Find the value of x for which function f(x) = int_(-1)^(x) t(e^(t)-1)(t-1)(t-2)^(3)(t-3)^(5)dt has a local minimum.

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Chapter Test
  1. The maximum value of the function f(x) given by f(x)=x(x-1)^2,0ltxlt...

    Text Solution

    |

  2. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a has ...

    Text Solution

    |

  3. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

    Text Solution

    |

  4. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

    Text Solution

    |

  5. Find the maximum value of 4sin^(2)x+3cos^(2)x+sin""(x)/(2)+cos""(x)/(2...

    Text Solution

    |

  6. The least value of the f(x) given by f(x)=tan^(-1)x-1/2 logex " in t...

    Text Solution

    |

  7. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

    Text Solution

    |

  8. The value of a for which the function f(x)={{:(tan^(-1)a -3x^2" , " ...

    Text Solution

    |

  9. The minimum value of 27^(cos3x)81^(sin3x) is

    Text Solution

    |

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

    Text Solution

    |

  11. f(x) = |x|+|x-1| +|x-2|, then which one of the following is not correc...

    Text Solution

    |

  12. Write the maximum value of f(x)=(logx)/x , if it exists.

    Text Solution

    |

  13. The function f(x)=2x^(3)-3x^(2)-12x-4 has

    Text Solution

    |

  14. In (-4,4) the function f(x)=int(-10)^x (t^2-4)e^(-4t) dt , has

    Text Solution

    |

  15. On [1,e] the greatest value of x^2logex, is

    Text Solution

    |

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

    Text Solution

    |

  17. If f:R to R be defined by f(x) =2x + cosx, then f

    Text Solution

    |

  18. The maximum distance from origin of a point on the curve x=asint-bsin(...

    Text Solution

    |

  19. The maximum value of x^(1/x),x >0 is e^(1/e) (b) (1/e)^e (c) 1 (d) non...

    Text Solution

    |

  20. The perimeter of a sector is a constant. If its area is to be maximum,...

    Text Solution

    |