Home
Class 12
MATHS
f(x+ y) = f(x) f(y), For AA x and y. If ...

`f(x+ y) = f(x) f(y)`, For `AA x and y`. If f(3)= 3 and f'(0) =11 then f'(3)= …….

A

22

B

44

C

28

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Short Answer Type Questions)|156 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise - 5|46 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Let f(x+y) = f(x) + f(y) - 2xy - 1 for all x and y. If f'(0) exists and f'(0) = - sin alpha , then f{f'(0)} is

f(x+y) = f(x) + f(y), "for " AA x and y and f(x)= (2x^(2) + 3x) g(x) . For AA x . If g(x) is a continuous function and g(0)= 3 then f'(x) = ……….

If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N such that f(1) = 3 and sum _(x=1)^nf(x)=120 , find the value of n.

If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f'(1)=1, then f(e) is.

If f(x)= (x-3)/(x + 1) then f[f {f(x)}] = …….

Let f((x+y)/2)=(f(x)+f(y))/2 for all real x and y. If f'(0) exists and equals -1 and f(0)=1, find f(2)

f(x) is a continuous and differentiable function. f'(x) ne 0 and |{:(f'(x),f(x)),(f''(x),f'(x)):}|=0 . If f(0)=1 and f'(0)=2 then f(x)=....

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
  1. f(x)= x^(2) e^(2(x-1)), 0 lt x lt 1 = a "sgn" (x+1) cos (2x-2) + bx^(2...

    Text Solution

    |

  2. The value of f(0), so that f(x)= (sqrt(a^(2)-ax + x^(2))-sqrt(a^(2) + ...

    Text Solution

    |

  3. f(x+ y) = f(x) f(y), For AA x and y. If f(3)= 3 and f'(0) =11 then f'(...

    Text Solution

    |

  4. f(x)= [x] + sqrt(x -[x]), where [.] is a greatest integer function the...

    Text Solution

    |

  5. The function f(x)= (sin 3x)^(tan^(2)3x) is continuous at x= (pi)/(6) t...

    Text Solution

    |

  6. y^(2) = ax^(2) +bx + c then y^(3) (d^(2)y)/(dx^(2)) is a …….. function

    Text Solution

    |

  7. f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..

    Text Solution

    |

  8. If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^...

    Text Solution

    |

  9. If x^(2) + y^(2) =t - (1)/(t) and x^(4) + y^(4) = t^(2) + (1)/(t^(2))...

    Text Solution

    |

  10. If sin y= x sin (a+ y) and (dy)/(dx)= (A )/(1 + x^(2)-2x cos a) then t...

    Text Solution

    |

  11. f(x+y) = f(x) + f(y), "for " AA x and y and f(x)= (2x^(2) + 3x) g(x). ...

    Text Solution

    |

  12. y= sin x- cos x and f(x)= (d^(17)y)/(dx^(17)) " then " f((pi)/(4))= ……...

    Text Solution

    |

  13. y= tan^(-1) ((ax-b)/(bx + a)) " then " (dy)/(dx)|(x= -1)= ………

    Text Solution

    |

  14. u= f (tan x), v= g(sec x), f'(1) =2 and g'(sqrt2)= 4 " then " (du)/(d...

    Text Solution

    |

  15. f(x)= sin^(2)x + sin^(2) (x + (pi)/(3)) + cos x cos (x + (pi)/(3)) a...

    Text Solution

    |

  16. y= e^(3x + 7) " then " y(n) (0)=……..

    Text Solution

    |

  17. x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..

    Text Solution

    |

  18. In the function f(x)= 2x^(3) + bx^(2) + qx satisfies conditions of Rol...

    Text Solution

    |

  19. If y= (a + bx)/(c + dx), where a, b, c, d are constants and lamda y(1)...

    Text Solution

    |

  20. The function f(x)= (2- root(4)(x^(2) +16))/(cos 2x-1) is continuous at...

    Text Solution

    |