Home
Class 12
MATHS
IF f is differentiable f(x+y)=f(x) f(y...

IF f is differentiable `f(x+y)=f(x) f(y) ` for all`x,y, in IR ` f(3) = 3, f'(0) = 11 ,` then f'(3) =

A

`(3)/(11)`

B

`(11)/(3)`

C

`8`

D

`33`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2016

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematic|80 Videos
  • TS EAMCET 2018 (4 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

Similar Questions

Explore conceptually related problems

If f is differentiable , f(x+y) = f(x) f(y) for all x, y in R , f(3) =3, f'(0) = 11, then f'(3) =

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

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

Let 'f' be a non-zero real valued continuous function satisfying f(x + y) = f(x), f(y) . f(y) for all x, y in R if f(2) = 9 , then f(6) =

Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) for all x, y in R . If f(2)=9 then f(3) is

If 'f is a function such that f (x + y) =f (x) f (y) for all x,y in R and f ^(1) (0) exists, show that f ^(1) (x) = f(x) f ^(1)(0) for all x, y in R.

If f(x) satisfies the relation f(x+ y) = f ( x) + f( y ) for all x, y in R and f(1) = 5 then

If f ((x + 2y)/(3)) = (f (x) + 2f (y))/( 3) AA x, y in R and f '(0) = 1, f (0) = 2, then find f (x).

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2017-MATHEMATICS
  1. The mean deviation from the mean 10 of the data 6,7,10,12,13,al...

    Text Solution

    |

  2. Match the following

    Text Solution

    |

  3. IF f is differentiable f(x+y)=f(x) f(y) for allx,y, in IR f(3) ...

    Text Solution

    |

  4. int 0 ^(pi) ( xdx) /( 4 cos ^2x + 9 sin ^2 x)=

    Text Solution

    |

  5. The prabability distribution of a random variable x is given b...

    Text Solution

    |

  6. If A =[(1,0,1),(0,2,0),(1,-1,4)],A=B+C,B=B^Tand C=-C^T , then C=

    Text Solution

    |

  7. IF a is a unit vector , then | a xx hati |^2 +| a xx hatj |^2 + ...

    Text Solution

    |

  8. A bag contains 5 red balls , 3 black balls and 4 white balls ...

    Text Solution

    |

  9. The radical centre of the circles x^2+y^2-4x-6y+5=0, x^2+y^2-2...

    Text Solution

    |

  10. IF cosec theta - cot theta = 2017 then quadrant in which the...

    Text Solution

    |

  11. IF int e^(2x ) f'(x) dx = g(x) , then int (e^(2x ) f(x)+ e^(2x ...

    Text Solution

    |

  12. IF A = ( 5,3) ,B =(3,-2) and a point P is such that the area of...

    Text Solution

    |

  13. A straight line makes an intercept on the Y- axis twice as lon...

    Text Solution

    |

  14. Let S and s' be the foci of an ellipse and B be one end of it...

    Text Solution

    |

  15. For the parabola y^2 + 6y - 2x =-5 I. The vertex is (-2,-3) ...

    Text Solution

    |

  16. IF (x^2+5)/((x^2+1)(x-2))=(A)/(x-2)+(bx +C)/(x^2 +1) then A + B + C...

    Text Solution

    |

  17. IF the conjugate of ( x+ iy)(1-2i) is (1 +i) then

    Text Solution

    |

  18. int x^4 e^(2x)dx=

    Text Solution

    |

  19. The sides of a triangle are in the ratio 1 : sqrt(3) : 2 then t...

    Text Solution

    |

  20. The sum of the complex roots of the equations ( x-1) ^3 + 64 =0 ...

    Text Solution

    |