Home
Class 12
MATHS
Find the range of values of a if f(x)=2e...

Find the range of values of `a` if `f(x)=2e^x-a e^(-x)+(2a+1)x-3` is monotonically increasing for all values of `xdot`

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)=e^(ax)+e^(-ax),agt0 is monotonically increasing for

Find the range of the function f(x) = (e^x - e^-x) .

Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is monotonically increasing for x in Rdot

Find the values of x for which the function f(x)=x^(3)-7x^(2)+8x-10 is monotonic increasing.

Find the range of values of x for which the function f(x)=2x^(3)-9x^(2)-24 x+5 increases with x

If f(x)= x^(3) + ax^(2) + bx + c is an increasing function for all real values of x then-

The function y=2x^2-log(x) is monotonically increasing for values of x(!=0) satisfying the inequalities____ and monotonically decreasing for values of x satisfying the inequalities_____.

Find the intervals in which f(x)=(x+2) e^(-x) is increasing

If alt0 , and f(x)=e^(ax)+e^(-ax) Is monotonically decreasing. Find the interval in which x belongs.

Find all the possible values of f(x) =(1-x^2)/(x^2+3)

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the normal to the curve x=a(1+cos theta),y=a sintheta at theta....

    Text Solution

    |

  2. If the curve C in the xy plane has the equation x^(2)+xy+y^(2)=1, then...

    Text Solution

    |

  3. Find the range of values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is monot...

    Text Solution

    |

  4. If the straight line xcosalpha+ysinalpha=p touches the curve x y=a^2, ...

    Text Solution

    |

  5. Is every invertible function monotonic?

    Text Solution

    |

  6. Let C be a curve defined by y=e^(a+b x^2)dot The curve C passes throug...

    Text Solution

    |

  7. If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1...

    Text Solution

    |

  8. Prove that f(x)=x-sinx is an increasing function.

    Text Solution

    |

  9. Let f defined on [0, 1] be twice differentiable such that |f "(x)| ...

    Text Solution

    |

  10. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

    Text Solution

    |

  11. f(x) = cosx-2ax monotonically decreases when

    Text Solution

    |

  12. If a , b are two real numbers with a<b then a real number c can be fo...

    Text Solution

    |

  13. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  14. Separate the intervals of monotonocity of the function: f(x)=3x^4-8x^...

    Text Solution

    |

  15. Column I, Column II A circular plate is expanded by heat from ra...

    Text Solution

    |

  16. Find the total number of parallel tangents of f1(x)=x^2-x+1a n df2(x)=...

    Text Solution

    |

  17. Separate the intervals of monotonocity of the function: f(x)=-sin^3x+...

    Text Solution

    |

  18. The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

    Text Solution

    |

  19. Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

    Text Solution

    |

  20. The ratio of capitals of three persons is 1:2:3 and the profit of 2nd ...

    Text Solution

    |