Home
Class 12
MATHS
If y=(a x+b)/((x-1)(x-4)) has a turning ...

If `y=(a x+b)/((x-1)(x-4))` has a turning value at `(2,\ -1)` find `a\ &\ b` and show that the turning value is maximum.

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

If y=(ax-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value of a and b and show that y is maximum at P.

If y=(ax-b)/((x-1)(x-4)) has a turning point P(2,-1), find the values of a and b and show that y is maximum at P.

The function y=(ax+b)/((x-1)(x-4)) has turning point at P(2,1). Then find the value of a and b

The function y= (ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then find the values of a and b.

If x+y=3 then show that the maximum value of x^(2) y is 4.

If (a/b)^(x-1) = (b/a)^(2x-8) , then find the value of x.

The curve y=ax^(2)+bx has a turning point at (1, -2). Find the values of 'a and 'b' and also show that y is minimum at this point .

If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then find a and b.

Find the maximum value of (2+3x)(1-x),x in R and also find the corresponding value of x.

The curve f(x)=(x^(2)+ax+6)/(x-10) has a stationary point at (4,1). Find the values of a and b Also,show that f(x) has point of maxima at this point.

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Show that semi-vertical angle of right circular cone of given surfa...

    Text Solution

    |

  2. Of all the lines tangent to the graph of the curve y=6/(x^2+3), find t...

    Text Solution

    |

  3. If y=(a x+b)/((x-1)(x-4)) has a turning value at (2,\ -1) find a\ &...

    Text Solution

    |

  4. Given two points A(-2,\ 0)&\ B\ (0,\ 4) and a line y=x . Find the c...

    Text Solution

    |

  5. Let alpha,beta be real number with 0lt=alphalt=beta and f(x)=x^2-(alph...

    Text Solution

    |

  6. Find the points of maxima and minima of the function f(x)=sin2x+2co...

    Text Solution

    |

  7. Find the greatest and least values of function f(x)={-x ,\ \ \ \ -...

    Text Solution

    |

  8. Find the points of maxima and minima f(x)=5/(3x^4-4x^3-36 x^2+28) .

    Text Solution

    |

  9. Find the least surface area of a closed cylinder of a given volume ...

    Text Solution

    |

  10. Find the point of maxima and minima f(x)=xln^2x ,\ x >0 .

    Text Solution

    |

  11. Find the points of maxima and minma. f(x)=(x-2)^(2/3)+\ (x+1)^(2/3d...

    Text Solution

    |

  12. Let P(x)=a0+a1x^2+a2x^4++an x^(2n) be a polynomial in a real variable ...

    Text Solution

    |

  13. f(x) is a cubic function with f(1)=-6,\ f(-1)=10 , and has maxima a...

    Text Solution

    |

  14. Let f(x)=a/x+x^2dot If it has a maximum at x=3, then find the value...

    Text Solution

    |

  15. Discuss the extrema of f(x)=x/(1+xtanx),x in (0,pi/2)

    Text Solution

    |

  16. Let f(x)={x^3+x^2+10 x ,\ \ x<0-3sinx ,\ \ \ \ xgeq0 . Investigate x=0...

    Text Solution

    |

  17. Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1...

    Text Solution

    |

  18. Find the maximum perimeter of a triangle on a given base ' a ' and ...

    Text Solution

    |

  19. If lim(x->a) f(x) = lim(x->a) [f(x)] ([.] denotes the greatest intege...

    Text Solution

    |

  20. A function f is defined by f(x)=\ int0^picostcos(x-t)dt ,\ 0lt=xlt=2pi...

    Text Solution

    |