Home
Class 12
MATHS
Discuss maxima/minima of f(x) = (x)/(1 +...

Discuss maxima/minima of `f(x) = (x)/(1 + x tan x), x in (0, (pi)/(2))`

A

f(x) has exactly one point of minima

B

f(x) has exactly one point of maxima

C

f(x) is increasing in `(0,(pi)/(2))`

D

maxima occours at `x_(0)` where `x_(0) = cosx_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-2 Part IV comprehension|7 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-3 Part I|21 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-2 Part II|21 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Discuss the extrema of f(x)=x/(1+xtanx),x in (0,pi/2)

Find the points of local maxima or minima for f(x) =" sin "2x -x, x in (0,pi)

The number of points of maxima/minima of f(x) =x(x + 1) (x +2) (x + 3) is

.The ratio of absolute maxima and minima of f(x)=(x^2-x+1)/(x^2+x+1) xepsilonR is

Let f(x)=2x^3-9x^2+12 x+6. Discuss the global maxima and minima of f(x)in[0,2]a n d(1,3) and, hence, find the range of f(x) for corresponding intervals.

Find points of local maxima // minima of f(x) =x^(2) e^(-x) .

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=xsqrt(1-x),\ \ xlt=1 , x >0,\ \ x in R . Also, find the points of inflection, if any:

f(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)

Discuss the global maxima and global minima of f(x)=tan^(-1)(log)_e x in [1/(sqrt(3)),sqrt(3)]

Let f(x) =x^(3) -x^(2) -x-4 (i) find the possible points of maxima // minima of f(x) x in R (ii) Find the number of critical points of f(x) x in [1,3] (iii) Discuss absolute (global) maxima // minima value of f(x) for x in [-2,2] (iv) Prove that for x in (1,3) the function does not has a Global maximum.

RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-Exersise-2 Part III
  1. If tangent to curve 2y^3 = ax^2+ x^3 at point (a, a) cuts off interce...

    Text Solution

    |

  2. For the curve x=t^(2) +3t -8 ,y=2t^(2)-2t -5 at point (2,-1)

    Text Solution

    |

  3. Which of the following statements is//are correct?

    Text Solution

    |

  4. If f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) then f(x) increase in (0,oo) ...

    Text Solution

    |

  5. Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

    Text Solution

    |

  6. Let f(x)=x^(m/n) for x in R where m and n are integers , m even an...

    Text Solution

    |

  7. Let f and g be two differentiable functions defined on an interval I s...

    Text Solution

    |

  8. Let g(x)=(f(x))^3-3(f(x))^2+4f(x)+5x+3sinx+4cosxAAx in Rdot Then prov...

    Text Solution

    |

  9. if p,q,r be real then the interval in which f(x) =|underset(pr" ...

    Text Solution

    |

  10. If f(x)=(x^(2))/(2-2 cosx) and g(x) =(x^(2))/(6x-6sinx) where 0ltxlt1.

    Text Solution

    |

  11. Let f(x) =(x-1^(4))(x-2^(n)),n in N.Then f(x) has

    Text Solution

    |

  12. Discuss maxima/minima of f(x) = (x)/(1 + x tan x), x in (0, (pi)/(2))

    Text Solution

    |

  13. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...

    Text Solution

    |

  14. if f(x) ={{:(-sqrt(1-x^(2))),(0 le x le 1);((-x)(x gt 1)):} then (1)...

    Text Solution

    |

  15. if f(x) = tan^(1) x -(1//2) ln x. then

    Text Solution

    |

  16. Let f(x) =(40)/(3x^(4) +8x^(3) -18x^(2)+60). Which of the following ...

    Text Solution

    |

  17. A function f(x) =(x^(2) -3x +2)/(x^(2)+ 2x -3) is

    Text Solution

    |

  18. Let f(x) be a differentiable function and f(a)=f(b)=0 (alpha ltbeta), ...

    Text Solution

    |

  19. For all x in [1, 2] Let f"(x) of a non-constant function f(x) exist a...

    Text Solution

    |