Home
Class 12
MATHS
For a certain curve y=f(x) satisfying ...

For a certain curve y=f(x) satisfying
`(d^(2)y)/(dx^(2))=6x-4,` f(x) has a local minimum value 5 when x=1, Find the equation of the curve and also the gobal maximum and global minimum values of f(x) given that `0lexle2.`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

For a certain curve y=f(x) satisfying (d^(2)y)/(dx^(2))=6x-4,f(x) has a local minimum value 5 when x=1 . The global maximum value of f(x) if 0lexle2 , is

For certain curve y=f(x) satisfying (d^(2)y)/(dx^(2))=6x-4, f(x) has local minimum value 5 when x=1 Global maximum value of y=f(x) for x in [0,2] is

The curve y =f (x) satisfies (d^(2) y)/(dx ^(2))=6x-4 and f (x) has a local minimum vlaue 5 when x=1. Then f^(prime)(0) is equal to :

A curve y=f(x) satisfies (d^2y)/dx^2=6x-4 and f(x) has local minimum value 5 at x=1 . If a and b be the global maximum and global minimum values of f(x) in interval [0,2] , then ab is equal to…

Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-24x+5

Find the local maximum and local minimum value of f(x)=sec x+log cos^(2)x,0

Find the local maximum and local minimum values of f(x)=sec x+log cos^(2)x,quad 0

For certain curves y= f(x) satisfying [d^2y]/[dx^2]= 6x-4, f(x) has local minimum value 5 when x=1. 9. Number of critical point for y=f(x) for x € [0,2] (a) 0 (b)1. c).2 d) 3 10. Global minimum value y = f(x) for x € [0,2] is (a)5 (b)7 (c)8 d) 9 11 Global maximum value of y = f(x) for x € [0,2] is (a) 5 (b) 7 (c) 8 (d) 9

For a certain curve (d ^(2)y)/(dx ^(2))=6x -4 and curve has local minimum values 5 at x=1, Let the global maximum and global minimum vlaues, where 0 le x le 2, are M and m. Then the vlaue of (M-m) equals to :

ARIHANT MATHS-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
  1. For a certain curve y=f(x) satisfying (d^(2)y)/(dx^(2))=6x-4, f(x) h...

    Text Solution

    |

  2. If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y...

    Text Solution

    |

  3. A solution curve of the differential equation (x^2+xy+4x+2y+4)((dy)/(d...

    Text Solution

    |

  4. Let f:(0,oo)->R be a differentiable function such that f'(x)=2-f(x)/x ...

    Text Solution

    |

  5. Let y(x) be a solution of the differential equation (1+e^x)y^(prime...

    Text Solution

    |

  6. Consider the family of all circles whose centers lie on the straigh...

    Text Solution

    |

  7. The function y=f(x) is the solution of the differential equation [dy]/...

    Text Solution

    |

  8. Let f:[1/2,1]vecR (the set of all real numbers) be a positive, non-con...

    Text Solution

    |

  9. A curve passes through the point (1,(pi)/(6)). Let the slope of the cu...

    Text Solution

    |

  10. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  11. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  12. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  13. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

    Text Solution

    |

  14. If y(x) satisfies the differential equation y^(prime)-ytanx=2xs e c...

    Text Solution

    |

  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

    Text Solution

    |

  16. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |

  17. For the following question, choose the correct answer from the codes (...

    Text Solution

    |

  18. If a curve y=f(x) passes through the point (1,-1) and satisfies the di...

    Text Solution

    |

  19. Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...

    Text Solution

    |

  20. Let the population of rabbits surviving at a time t be governed by ...

    Text Solution

    |

  21. At present a firm is manufacturing 2000 items. It is estimated that th...

    Text Solution

    |