Home
Class 12
MATHS
Find the intervals where the following f...

Find the intervals where the following functions are (a) increasing and (b) decreasing.
`y = {{:(x^(2) + 1,x le - 3),(x^(3) - 8x + 13,x gt -3):}`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2012

    MODERN PUBLICATION|Exercise EXERCISE|37 Videos
  • SAMPLE PAPER 2014

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

Find the intervals where the following functions are (a) increasing and (b) decreasing. y = (x - 1)^2 (x+2)

Find the intervals where the following functions are (a) increasing and (b) decreasing. y= 4x^2 + 1/x

Find the intervals where the following functions are (a) increasing and (b) decreasing. y =( Inx)/x, x gt 0

Find the intervals where the following functions are (a) increasing and (b) decreasing. y = 1/(x - 1) , x ne 1

Find the intervals where the following functions are (a) increasing and (b) decreasing. y = In x, x in R_+

MODERN PUBLICATION-SAMPLE PAPER 2013-EXERCISE
  1. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

    Text Solution

    |

  2. Find the extreme values of the function y = X + 1/x.

    Text Solution

    |

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

    Text Solution

    |

  4. Integrate : int (sin6x + sin4x) / (cos6x + cos4x) dx.

    Text Solution

    |

  5. Evaluate the following integrals : int(dx)/(x[(logx)^(2)+25])

    Text Solution

    |

  6. Integrate : int sin^(-1)xdx.

    Text Solution

    |

  7. Evaluate int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cos x))dx

    Text Solution

    |

  8. solve , dy/dt = e^((2t)+(3y)).

    Text Solution

    |

  9. solve , dy/dx + y = e^(-x).

    Text Solution

    |

  10. Find the differential equation whose general solution is y = a cos x +...

    Text Solution

    |

  11. If vec a = (2,-2,1), vec b = (2,3,6) and vec c = (-1,0,2),Find the mag...

    Text Solution

    |

  12. Prove the following by vector method. An angle inscribed in a semi-cir...

    Text Solution

    |

  13. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

    Text Solution

    |

  14. Find the equation of a plane biscting the line segment joining (-1,4,3...

    Text Solution

    |

  15. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

    Text Solution

    |

  16. Find equation of the sphere if the line segment joining the Points (4,...

    Text Solution

    |

  17. Maximise Z=50x(1)+60x(2) Subject to 2x(1)+3x(2)le6,x(1),x(2)ge0.

    Text Solution

    |

  18. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

    Text Solution

    |

  19. Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...

    Text Solution

    |

  20. Find the product [{:(1,2,3),(2,3,4):}][{:(1,-2),(-2,3):}]

    Text Solution

    |