Home
Class 12
MATHS
If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b,...

If `d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b,` then `(a, b) = `

A

2 and 1

B

`-2 and 1`

C

`2 and -1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 2 (LEVEL-I)|17 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 2 (LEVEL-II)|13 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 4 (LEVEL - II)|17 Videos

  • MONOTONOCITY

    MOTION|Exercise Exercise - 4 ( Level-II ) Previous Year (Paragraph)|2 Videos

Similar Questions

Explore conceptually related problems

If d/(dx)((1+x^4+x^8)/(1+x^2+x^4))=ax^3+bx ,then

If (d)/(dx)backslash((1+x^(2)+x^(4))/(1+x+x^(2)))=ax+b, then (a,b)=

Given that (d)/(dx)((1+x^(2)+x^(4))/(1+x+x^(2)))=Ax+B What is the value of A?

Given that, (d)/(dx)((1+x^(2)+x^(4))/(1+x+x^(2)))=Ax+B What is the value of A ?

Given that, (d)/(dx)((1+x^(2)+x^(4))/(1+x+x^(2)))=Ax+B What is the value of B ?

(d)/(dx)((x^(2))/(x-1))=

(d)/(dx){(x^(2)-x+1)/(x^(2)+x+1)}=

d/(dx) (sin^(-1) "" (2x)/(1+x^(2))) is equal to

MOTION-METHOD OF DIFFERENTIATION-EXERCISE - 1
  1. If y = (a+bx^(3/2))/x^(5/4) & (dy)/(dx) vanishes when x = 5 then a/b i...

    Text Solution

    |

  2. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

    Text Solution

    |

  3. If y = sqrt(sinx+y), then (dy)/(dx) is equal to

    Text Solution

    |

  4. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

    Text Solution

    |

  5. If xsqrt(y)+ysqrt(x)=1"then"(dy)/(dx) equals -

    Text Solution

    |

  6. If e^(x)siny-e^(y)cosx=1,"then"(dy)/(dx) equals -

    Text Solution

    |

  7. If f(x)=|x|^(|sinx|), then f'((pi)/(4)) equals

    Text Solution

    |

  8. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

    Text Solution

    |

  9. If y=sin^(-1)((x^2-1)/(x^2+1))+sec^(-1)((x^2+1)/(x^2-1)) then dy/dx is...

    Text Solution

    |

  10. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

    Text Solution

    |

  11. If y = sin^-1((2x)/(1+x^2)) then (dy)/(dx) at x=-2is

    Text Solution

    |

  12. If y=x-x^2, then the derivative of y^2 w.r.t x^2 is

    Text Solution

    |

  13. The differential cofficient of a^(sin^(-1)x)w.r.t sin^(-1)x is -

    Text Solution

    |

  14. The value of derivative of tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2)))w.r...

    Text Solution

    |

  15. If x=e^(y+e^(y^(+..."to"00))),xgt0,"then"(dy)/(dx)

    Text Solution

    |

  16. If y=sqrt(x)^(sqrt(x)^(sqrt(x)^sqrt(x)...00)), "then the value of"(dy)...

    Text Solution

    |

  17. If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is

    Text Solution

    |

  18. If y=cos^(-1)(cosx),t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2...

    Text Solution

    |

  19. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  20. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

    Text Solution

    |