Home
Class 11
MATHS
For the function f(x) = 2x^3-8x^2+10x+5,...

For the function f(x) = `2x^3-8x^2+10x+5`, find the interval (s)
in which f(x) is decreasing

Text Solution

Verified by Experts

When f(x) is decreasing : `f.(x) lt0`
`implies6x^2-16x+10lt0`
`implies (x-1)(x-5/3)lt0`
`implies x in (1,5/3)`
Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

Similar Questions

Explore conceptually related problems

For the function f(x) = 2x^3-8x^2+10x+5 , find the interval (s) in which f(x) is increasing

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

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

The function f(x)=tan^(-1)x-x decreases in the interval

Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.

Find the interval in which f(x)= 4x^3+3x^2+2x+1 is increasing.

Find the intervals in which the function f(x)=3/x+x/3 is decreasing

Find the interval where f(x) = 1/(1+x^2) decrease.

Find the intervals in which f(x)=x^2+2x-5 is increasing or decreasing.

Find the interval in which the function f(x)=x^x(x>0) is decreasing.

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Find the equation of the tangent and the normal at the point (0, -1) t...

    Text Solution

    |

  2. For the function f(x) = 2x^3-8x^2+10x+5, find the interval (s) in wh...

    Text Solution

    |

  3. For the function f(x) = 2x^3-8x^2+10x+5, find the interval (s) in wh...

    Text Solution

    |

  4. Investigate the increasing or decreasing behaviour of the following fu...

    Text Solution

    |

  5. If xgt0,ygt0 and x+y=1, then find the minimum value of x log x + y log...

    Text Solution

    |

  6. Evaluate the following integrals : intx.e^xdx

    Text Solution

    |

  7. Evaluate the following integrals : inte^(tan^-1x)/(1+x^2)dx

    Text Solution

    |

  8. Evaluate the following integrals : intsecx(secx+tanx)dx

    Text Solution

    |

  9. Evaluate the following integrals : int3^6abs(x-4)dx

    Text Solution

    |

  10. Solve the following differential equations : xdy+ydx=0,at x=1,y=1

    Text Solution

    |

  11. Solve the following differential equations : dy/dx+sqrt((1-y^2)/(1-x...

    Text Solution

    |

  12. Solve the following differential equations : tan x cdotcos^2ydx+tan ...

    Text Solution

    |

  13. Solve the following differential equations : x(1+y^2)dx+y(1+x^2)dy=0...

    Text Solution

    |

  14. Let{x} and [x] denote the fractional and integral parts of a real numb...

    Text Solution

    |

  15. If y = 2[x]+3 and y = 3[x-2]+5 and find [x+y]

    Text Solution

    |

  16. Solve abs([x]-2x)=4

    Text Solution

    |

  17. Solve (x)^2+(x+1)^2=25 {where (x) denotes the least integer function}

    Text Solution

    |

  18. If 0ltxlt1000 and [x/2]+[x/3]+[x/5]=31/30x, where [x] is the greatest...

    Text Solution

    |

  19. Resolve x^2/((x-1)(x-2)(x-3)) into partial fractions.

    Text Solution

    |

  20. Resolve (x^4-x^2+1)/(x^2(x^2+1)^2 into partial fractions.

    Text Solution

    |