Home
Class 12
MATHS
If f(x)=2e^x-ae^(-x)+(2a+1)x-3 monotonic...

If `f(x)=2e^x-ae^(-x)+(2a+1)x-3` monotonically increases for `AA x in R`, then find range of values of `a`

Text Solution

Verified by Experts

The correct Answer is:
`a ge 0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1A|5 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise -1B|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

if f(x) =2e^(x) -ae^(-x) +(2a +1) x-3 monotonically increases for AA x in R then the minimum value of 'a' is

If f(x)=2e^(x)-c ln x monotonically increases for every x in(0,oo), then the true set of values of c is

If f(x) = x^(3) + (a – 1) x^(2) + 2x + 1 is strictly monotonically increasing for every x in R then find the range of values of ‘a’

Let set of all possible values of lamda such that f (x)= e ^(2x) - (lamda+1) e ^(x) +2x is monotonically increasing for AA x in R is (-oo, k]. Find the value of k.

Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing for x in R

If f(x)=((a^(2)-1)/(3))x^(3)+(a-1)x^(2)+2x+1 is monotonically increasing for every x in R then a can lie in

If f(x0 and g(x)=f(x)sqrt(1-2(f(x))^(2)) are strictly increasing AA x in R, then find the values of f(x)

f(x)=|x-1|+2|x-3|-|x+2| is monotonically increasing at x=?

The function f(x)= (x^(2))/(e^(x)) monotonically increasing if

RESONANCE-APPLICATION OF DERIVATIVES-Self Practice Problems
  1. Find the intervals of monotonicity of the following functions. (i...

    Text Solution

    |

  2. Let f(x) =x - tan^(-1)x. Prove that f(x) is monotonically increasing ...

    Text Solution

    |

  3. If f(x)=2e^x-ae^(-x)+(2a+1)x-3 monotonically increases for AA x in R,...

    Text Solution

    |

  4. Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-...

    Text Solution

    |

  5. For each of the following graph comment on monotonically of f(x) ...

    Text Solution

    |

  6. Let f(x)=x^3-3x^2+ 3x + 4, comment on the monotonic behaviour of f(x) ...

    Text Solution

    |

  7. Draw the graph of function f(x)={underset([x] " "1 le x le 2)(x " ...

    Text Solution

    |

  8. In each of following graphs identify if x= a is point of local maxi...

    Text Solution

    |

  9. Examine the graph of following functions in each case identify the p...

    Text Solution

    |

  10. Find the points of local maxima or minima of following functions...

    Text Solution

    |

  11. Let f(x) =x^(3) =x^(2) -x-4 (i) find the possible points of maxim...

    Text Solution

    |

  12. Let f(x) =x +(1)/(x). find local maximum and local minimum value ...

    Text Solution

    |

  13. if f(x) ={underset( cos x " "x le 0)((x+lambda)^(2) " " x lt 0). ...

    Text Solution

    |

  14. Let f(x) = sin x (1+cos x) , x in (0,2pi). Find the number of criti...

    Text Solution

    |

  15. Find the two positive numbers x and y whose sum is 35 and the ...

    Text Solution

    |

  16. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

  17. A square piece of tin of side 18 cm is to be made into a box withou...

    Text Solution

    |

  18. The maximum distance of the centre of the ellipse x^2/(81)+y^2/(25)=1 ...

    Text Solution

    |

  19. A line is drawn passing through point P(1,2) to cut positive coord...

    Text Solution

    |

  20. Two towns A and B are situated on the same side of a straight road at ...

    Text Solution

    |