Home
Class 11
MATHS
Investigate the increasing or decreasing...

Investigate the increasing or decreasing behaviour of the following function :
`f(x)= sin^3x-3sin^2x-5,x in ((-pi)/2,pi/2)`

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

Separate the intervals of monotonocity of the function: f(x)=-sin^3x+3sin^2x+5,x in [-pi/2,pi/2]dot

Find the critical points of each of the following functions : sin2x-x(-(pi)/(2)lexle(pi)/(2))

Verify Langrange's mean value theorem for the following functions : f(x)=x-2 sin x" in " -pi le x le pi

Find the intervals of decrease and increase for the function f(x)=cos(pi/x)

cos3x + sin(2x- (7pi)/6)=-2

Find the intervals in which the following functions are increasing or decreasing f(x)=3x^2-4x

Prove that each of the following functions is strictly decreasing phi(x) = sin x(pi/2 le x le pi)

Find the period of the function f(x) = sin((pi x)/3) + cos ((pi x)/2) .

Range of the function : f(x)=log_2((pi+2sin^(- 1)((3-x)/7))/pi)

Show that each of the following functions is strictly increasing phi(x) = sin x(0 le x le pi/2)

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. For the function f(x) = 2x^3-8x^2+10x+5, find the interval (s) in wh...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Resolve (2x^2-11x+5)/((x-3)(x^2+2x+5)) into partial fractions.

    Text Solution

    |