Home
Class 12
MATHS
The minimum value of the function, f(x...

The minimum value of the function,
`f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(x)).` For all permissible real values of x is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Minimum value of the function f(x)= (1/x)^(1//x) is:

The minimum value of the polynimial x(x+1)(x+2)(x+3) is

Minimum value of of f (x)=2x^(2)-4x+5is

The minimum value of the fuction f(x)=2|x-2|+5|x-3| for all x in R , is

The minimum value of the function f(x)=(3 sin x - 4 cos x - 10)(3 sin x + 4 cos x-10) , is

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

The minimum value of [x_1-x_2)^2 + ( 12 - sqrt(1 - (x_1)^2)- sqrt(4 x_2)]^(1/2) for all permissible values of x_1 and x_2 is equal to asqrtb -c where a,b,c in N , the find the value of a+b-c

Verify mean value theorem for the function f(x) = x^(3)-2x^(2)-x+3 in [0,1]

Find the values ' a ' for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreases for all real values of x .

Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-1 decreasing for all real values of xdot

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If f(x) =int x^(m-1)dx then f^(m-1) x=0 where a) m is a negative int...

    Text Solution

    |

  2. Let f^(x) be continuous at x=0 If ("lim")(xvec0)(2f(x)-3a(f(2x)+bf(8x...

    Text Solution

    |

  3. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

    Text Solution

    |

  4. "I f"(x)={((e^x-1)xsinx)/(x^n),x >0 0,x=0 is derivable at x=0 then in...

    Text Solution

    |

  5. Show that ("lim")(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6

    Text Solution

    |

  6. If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...

    Text Solution

    |

  7. In parabola y^2=4x, From the point (15,12), three normals are drawn th...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If sum(k=0)^5^5Cksink xcos(5-k)x=Nsin5x where N is some natural number...

    Text Solution

    |

  10. Let (6sqrt(6)+14)^(2n+1)=R, if f be the fractional part of R, then pro...

    Text Solution

    |

  11. The range of the function f(x) = sqrt(4 - x^(2)) + sqrt(x^(2) - 1) is ...

    Text Solution

    |

  12. If a > b > c >0 , prove that cot^(-1)((a b+1)/(a-b))+cot^(-1)((b c+1)...

    Text Solution

    |

  13. The number of different quadrilaterals that can be formed by using the...

    Text Solution

    |

  14. The number of points of intersection of diagonals which lie within the...

    Text Solution

    |

  15. If a,b,c are unequal numbers in A.P. such that a,b-c,c-a are in G.P. t...

    Text Solution

    |

  16. Solution of (dy)/(dx)(x^2y^3+x y)=1 is , e^(y^(2)/p)(1/x+y^r-q)=...

    Text Solution

    |

  17. int"x"^(-2//3)(1+"x"^(1//2))^(-5//3)dx=p(1+x^(1//2))^(r/s),w h e r er ...

    Text Solution

    |

  18. If f(x)={{:(px+sqrtq,x ge2),(x^(2)-5x+6,2 lt xlt3),((ax)^(2)+bx+1, x g...

    Text Solution

    |

  19. The maximum possible integral value of (beta-alpha)/(tan^(-1)beta - ta...

    Text Solution

    |

  20. If z lies on the curve a r g(z+1)=pi/4 , then the minimum value of |z-...

    Text Solution

    |