Home
Class 12
MATHS
Fill in the blanks: br The function f(x)...

Fill in the blanks: br The function `f(x) = e^2x` is increasing on R…….

Promotional Banner

Topper's Solved these Questions

  • A Gift paper from the publishers

    JMD PUBLICATION|Exercise Example|52 Videos
  • APPLICATION OF INTEGRATION

    JMD PUBLICATION|Exercise EXAMPLE|7 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks: The function f(x) = x^2 -3x +2 is increasing in …….

The function f(x)=e^(|x|) is

Is the function f(x) =x^2, xinR increasing?

Show that the function given by f(x) = e^2x is increasing on R.

Fill in the blanks: The function f(x) = 4x - 3 is strict ____ function for all x in R.

Prove that the function x - cos x is increasing on R.

Fill in the blanks: The function f(x) = x^3 is a strict ________ function.

The function f(x)=7x-3 is a strictly increase function on R.

JMD PUBLICATION-Appilications of Derivative-Exercise
  1. Fill in the blanks: br The rate of change of area of circle w.r.t. rad...

    Text Solution

    |

  2. Fill in the blanks: The function f(x) = x^2 -3x +2 is increasing in ……...

    Text Solution

    |

  3. Fill in the blanks: br The function f(x) = e^2x is increasing on R…….

    Text Solution

    |

  4. Fill in the blanks: The slope of tangent to curve y = x^3 - x at x= 2 ...

    Text Solution

    |

  5. Fill in the blanks: The gradient of curve y= x^3 +3x + 2 at x =3 is…….

    Text Solution

    |

  6. Statement True/ False: br The slope of the normal to the curve y = 2x^...

    Text Solution

    |

  7. Statement True/ False: br The product of slope of tangent and normal i...

    Text Solution

    |

  8. Statement True/ False: br If f(x) gt 0 then the function f(x) is said ...

    Text Solution

    |

  9. Find a point on the parabola f(x) = (x - 3)^2, where the tangent is pa...

    Text Solution

    |

  10. Show that the function f(x) = x^3 - 6x^2 +12x +8 is an increasing on R...

    Text Solution

    |

  11. At what points on the curve x^2 + y^2 - 2x -4y +1 = 0 is the tangent p...

    Text Solution

    |

  12. Show that the tangents to the curve y = 2x^3-4 at the points x = 2 and...

    Text Solution

    |

  13. Find the approximate value of f(2.01) where f(x) = 4x^2+ 5x +2.

    Text Solution

    |

  14. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

    Text Solution

    |

  15. If side of a square is increasing at the rate of 1.5 cm/sec, then the ...

    Text Solution

    |

  16. The radius of a sphere is measured as 9 cm with an error of 0·03 cm, t...

    Text Solution

    |

  17. The side of an equilateral triangle is increasing at the rate of 2 cm/...

    Text Solution

    |

  18. Find the least value of a so that the function f(x) = x^2 + ax + 1 is ...

    Text Solution

    |

  19. Using differentials, find the approximate value of 82^1/4 upto 3 place...

    Text Solution

    |

  20. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

    Text Solution

    |