Home
Class 12
MATHS
For what value of k,f(x) = kx^3+3 is dec...

For what value of k,`f(x)` = `kx^3+3` is decreasing?

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES

    MODERN PUBLICATION|Exercise PROBLEM|2 Videos

Similar Questions

Explore conceptually related problems

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

Mention the values of xfor whichthe function f(x) = x^3-12 x is decreasing,

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

Write the set of values of k for which the function f (x) = kx-sinx is increasing.

In what interval f(x)=log_(5) x is decreasing (if any) ?

Determine the interval in which the function f(x) = x^3-5x^2+3x+97 is decreasing and that in which it is increasing.

Determine the values of x for which the function f(x)= x^x, xgt0 is increasing or decreasing.

Prove that f(x) = (3)/(x) + 7 is strictly decreasing for x in R, (x ne 0) .

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

For what value of k the following function is continuous at x=0 ? f(x)={{:((1-cos4x)/(8x^(2))", "x!=0),(k", "x=0):}

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
  1. For what values of x,f(x) = x^3-12x is increasing.

    Text Solution

    |

  2. Find the maximum and minimum of f(X) = 3+|X-2| in -2leXle5.

    Text Solution

    |

  3. For what value of k,f(x) = kx^3+3 is decreasing?

    Text Solution

    |

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

    Text Solution

    |

  5. Find the equation of tangent to the curve x=y^2-2 at the points where ...

    Text Solution

    |

  6. f(x) = x^4-63x^2+ax+9 attains its maximum value at x=1 in the interval...

    Text Solution

    |

  7. Find the points on the curve 9y^2 = x^3 where the normal to the curve ...

    Text Solution

    |

  8. Find the equation of normal to the circle x^2+y^2 = 5 at (2,1).

    Text Solution

    |

  9. Find the intervals where the function f(x)=tanx-4(x-2) is increasing a...

    Text Solution

    |

  10. Show that for f(x) = x+1/x the local maximum is less than local minimu...

    Text Solution

    |

  11. Find the points on the curve 9y^2 = x^3 where the normal to the curve ...

    Text Solution

    |

  12. Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...

    Text Solution

    |

  13. Find the equation of the tangent and normal to [x/a]^(1/3)+[y/b]^(1/3)...

    Text Solution

    |

  14. Show that the function e^x/x^p is strictly increasing for x gt p gt 0.

    Text Solution

    |

  15. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

    Text Solution

    |

  16. Find the extreme values of y = cos x(1+sin x), x in [0,2pi]

    Text Solution

    |

  17. Find the equation of normal to the curve x^3 =4y which passes through ...

    Text Solution

    |

  18. Prove that y=mx+c touches the parabola y^2 = 4ax if a=mc.

    Text Solution

    |

  19. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  20. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |