Home
Class 12
MATHS
For what values of a the function e^(ax)...

For what values of a the function `e^(ax)`is increasing ?

Text Solution

Verified by Experts

`e^(ax)` is increasing for `ae^(ax)gt0rArragt0`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos
  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

For which value of x, the function f(x) = 5-6x is increasing.

For what value of a, f(x) = log_(a)(x) is increasing on R?

For what value of K, Kf is increasing if f is increasing ?

Find the interval for which the function f(x) = x^2e^(-x) is increasing and decreasing.

Find the intervals in which the function y=(Inx)/(x) is increasing and decreasing.

For what value of x, is the function f(x) = 3 - 2x^2 the maximum?

For what values of x, f(x) = x^3-12x is increasing.

Find the value of a, so that the function f(x) is defined by f(x)={{:((sin^(2)"ax")/(x^(2))", "x!=0),("1, "x=0):} may be continuous at x=0.

What is the maximum value of the function f(x)=sinx(1 + cos x) ?

Write the interval in which the function sin^2x-x is increasing.

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

    Text Solution

    |

  2. A balloon is pumped at the tate of 10 cubic cm/min . What it the rate ...

    Text Solution

    |

  3. For what values of a the function e^(ax)is increasing ?

    Text Solution

    |

  4. What is the interval in which log5xis increasing ?

    Text Solution

    |

  5. What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasi...

    Text Solution

    |

  6. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

    Text Solution

    |

  7. Write the least value of a for which the function f defined by f(x)=x^...

    Text Solution

    |

  8. For what value of K, Kf is increasing if f is increasing ?

    Text Solution

    |

  9. At what point of x^2=2y the point (0,3) is nearest to the curve?

    Text Solution

    |

  10. If theta+phi=pi/3, then for what value of a sin theta. Sin phi is maxi...

    Text Solution

    |

  11. Write the absolute maximum and absolute minimum of the function f(x)=x...

    Text Solution

    |

  12. Which condition of Rolle's theorem is violated by the functionf(x) = s...

    Text Solution

    |

  13. Which condition of Rolle's theorem is violated by the functionf(x) =| ...

    Text Solution

    |

  14. Is there any tangent to the curve y=|2x-1| at (1/2,0)?

    Text Solution

    |

  15. Write the subinterval of (0,pi) in which sin (x+pi/4) is increasing.

    Text Solution

    |

  16. Given f(2) = 6, (1) =4 find underset(hto0)lim(f(2+2h+h^2)-f(2))/(f(1+h...

    Text Solution

    |

  17. If (f(x))^(n) = f(nx), find (f'(nx))/(f'(x)).

    Text Solution

    |

  18. Evaluate d/dx(a^(sinx)+e^-x) by chain rule.

    Text Solution

    |

  19. If f(x) = sin |x| -|x| , find f'(0^+)

    Text Solution

    |

  20. Find the derivative of In sqrt((1-cosx)/(1+cosx)).

    Text Solution

    |