Home
Class 12
MATHS
Give example of a function which is incr...

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

Text Solution

Verified by Experts

`f(x)=2x^2-15x^2+36x increasing in `(-oo,2)` and `(3,oo)` and decreases in (2.3).
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

Give an example of a function which is bijective

Give an example of a function which is one-one but not onto.

Give an example of a function which is neither one-one nor onto

Give an example of a function which is onto but not one-one.

Give an example of a relation which is not a function.

Give an example of a function which is injective but not surjective.

Give an example of a function which is Surjective but not injective.

Give an example of 3xx1 matrix

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. What is the interval in which log5xis increasing ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If y=cos^-1((a+bcosx)/(a+bcosx)) find dy/dx.

    Text Solution

    |

  19. If y=tan^-1(cotx)+cot^-1(tanx), find (dy)/dx.

    Text Solution

    |

  20. If y=tan^-1((3x-x^3)/(1-x^2)), find dy/dx.

    Text Solution

    |