Home
Class 12
MATHS
Which of the following hold(s) good for ...

Which of the following hold(s) good for the function `f(x)=2x-3x^(2/3)` `AAx in R`?

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)= 2x^(3) - 3x^(2) - 12x +4 has-

Find the domain of each of the following functions: f(x)=sqrt(x^2-3x+2)

Find the range of the following function f(x)=x^2-3x+2

Which of the following function is non-differentiable in domain? f(x)=(x-2)/(x^2+3) (b) f(x)=log|x| f(x)=x^3logx (d) f(x)=(x-3)^(3/5)

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Let A=a_0 be a matrix of order 3, where a_(i j)=x ; ifi=j ,x in R, 1 if|i-j|=1, 0;ot h e r w i s e then when of the following Hold (s) good: for x=2 , (a) A is a diagonal matrix (b) A is a symmetric matrix for x=2 , (c) det A has the value equal to 6 (d) Let f(x)= , det A , then the function f(x) has both the maxima and minima.

Find the inverse of the following function: f(x)=log_e(x^2+3x+1), x in [1,3]

Find the domain of the following following functions: f(x)=cos^(-1)(1+3x+2x^(2))

CHOOSE the correct answer from the following alternative : the domain for which the functions f(x)= 3x^2-2x and g(x)=3(3x-2) are equal, will be -

The critical points of the function f(x)=(2)/(3)x^(3)-(3)/(2)x^(2)-2x+5

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Which of the following is true about point of extremum x=a of function...

    Text Solution

    |

  2. Which of the following function has point of extremum at x=0? (a) f(...

    Text Solution

    |

  3. Which of the following hold(s) good for the function f(x)=2x-3x^(2/3) ...

    Text Solution

    |

  4. For the function f(x)=(e^x)/(1+e^x), which of the following hold good...

    Text Solution

    |

  5. The global maximum value of f(x)=(log)(10)(4x^3-12 x^2+11 x-3),x in [2...

    Text Solution

    |

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

    Text Solution

    |

  7. The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e...

    Text Solution

    |

  8. The minimum value of e^((2x^2-2x+1)sin^(2)x) is a. e (b) 1/e (c) 1 ...

    Text Solution

    |

  9. Let f(x)=cospix+10x+3x^2+x^3,-2lt=xlt=3. The absolute minimum value of...

    Text Solution

    |

  10. The maximum slope of the curve y=-x^3+3x^2+9x-27 is (a) 0 (b) 12 (c)...

    Text Solution

    |

  11. The maximum value of f(x)=x/(1+4x+x^2) is -1/4 (b) -1/3 (c) 1/6 (d)...

    Text Solution

    |

  12. Let f(x)={(x+2,-1lexle0),(1,x=0),(x/2,0ltxle1):} Then on [-1,1] this f...

    Text Solution

    |

  13. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |