Home
Class 11
MATHS
Given that f(x) is a differentiable func...

Given that f(x) is a differentiable function of x and that `f(x) ,f(y) = f(x) + f(y) +f(xy) -2` and that f(1)=2 ,`f(2) = 5` Then `f(3)` is equal to

A

10

B

24

C

15

D

19

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If f(x + y) = f(x) f(y) AA x, y and f(5) = 2, f'(0) = 3 then f'(5) =

If f(x) is a function such that f(xy) = f(x)+f(y) and f(x)=

If 2f(x) = f'(x) and f(0) = 3 then f(2) =

Let f be twice differentiable function such that f^11(x) = -f(x) "and " f^1(x) = g(x), h(x) = (f(x))^2 + (g(x))^2) , if h(5) = 11 , then h(10) is

If f(x+y) = f(x)f(y) and f(5)=32 then f(7)=

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. If y= sqrt((a-x)(x-b))-(a-b)tan^(-1)sqrt((a-x)/(x-b))(a gtb) then (dy...

    Text Solution

    |

  2. If y=|cosx|+|sinx|, then (dy)/(dx) at x = (2pi)/3 is

    Text Solution

    |

  3. Given that f(x) is a differentiable function of x and that f(x) ,f(y) ...

    Text Solution

    |

  4. If y = Tan^(-1)(cot(pi/2-x)) then (dy)/(dx) =

    Text Solution

    |

  5. If y = sin^(-1)((sqrtx-1)/(sqrtx+1))+sec^(-1)((sqrtx+1)/(sqrtx-1)), x ...

    Text Solution

    |

  6. d/(dx)(sinh^(-1)(sqrtx)) =

    Text Solution

    |

  7. If y = Tan^(-1)((cosx)/(1+sinx)) then (dy)/(dx)=

    Text Solution

    |

  8. d/(dx){Tan^(-1)""(x)/(1+x^2)+Tan^(-1)""(1+x^2)/x} =

    Text Solution

    |

  9. If sin^(-1)x+sin^(-1)y=pi/2 , then (dy)/(dx) is equal to

    Text Solution

    |

  10. y = sin^(-1)2x+Tan^(-1)3x + Cos^(-1)2x+Cot^(-1)3x then (dy)/(dx)

    Text Solution

    |

  11. d/(dx){cos^(-1)x+Sin^(-1)sqrt(1-x^2)}

    Text Solution

    |

  12. (d)/(dx) {Sin ^(-1) ((3x)/(2) - (x ^(3))/(2))}=

    Text Solution

    |

  13. d/(dx){cos^(-1)((4x^3)/27-x)}=

    Text Solution

    |

  14. If y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2))then (dy)/(dx)=

    Text Solution

    |

  15. d/(dx)(Tan^(-1)""(x)/(sqrt(a^2-x^2))=

    Text Solution

    |

  16. d/(dx)(Tan^(-1)(sinhx))=

    Text Solution

    |

  17. If y= Tan^(-1)""(sqrt(1+x^2) -1)/x then (dy)/(dx)=

    Text Solution

    |

  18. If y = cos ^(-1) (cosx) , then (dy)/(dx) at x = (5pi)/4 is

    Text Solution

    |

  19. The first derivative of the fuctioncos^(-1)(sinsqrt(1+x)/2)+x^x with ...

    Text Solution

    |

  20. d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

    Text Solution

    |