Home
Class 12
MATHS
Let f(x+y) = f(x).f(y), forall, x, y. Su...

Let f(x+y) = f(x).f(y), `forall, x, y`. Suppose f(5) =2, `f^(')(0) = 3` then `f^(')(5) =`

A

6

B

3

C

5

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos
  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

f(xy)=f(x)+f(y) is true for all

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

If f(x+y) = 2f(x) f(y) for all x,y where f^(')(0) = 3 and f(4) =2, then f^(')(4) is equal to

If f(x)=3 x-5 , then f^(-1)(x)=

Let f(x) = x-[x], x in R then f^(')(1/2) is

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

Let f(x) be 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)^(n) f(x) = 120 . Then the vlaue of n is :

If f(x) 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)^(n) f(x) = 120 Then the value of n is :

If f(x) = x/(x - 1) = 1/y , then f(y) =

Let f(x) = 1-x^5 , then f(x).f(1/x) =

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Let f(x) = {((tanx - cotx)/(x-pi/4), xne pi/4),(a, x = pi/4):}. The va...

    Text Solution

    |

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

    Text Solution

    |

  3. The function f(x)=1+|sinx| is :

    Text Solution

    |

  4. The range of the function f(x)=[x]-x , where [x] denotes the greatest ...

    Text Solution

    |

  5. Let f((x+y)/2) = (f(x)+f(y))/2 for all real values of x and y. If f^('...

    Text Solution

    |

  6. Let f : R rarr R be a function defined by f(x) = max {x,x^(3)}. The se...

    Text Solution

    |

  7. The domain of the derivative of the function f(x) = {(tan^(-1)x, |x|le...

    Text Solution

    |

  8. lim(h rarr 0) (f(2h+2+h^(2))-f(2))/(f(h-h^(2)+1)-f(1)) given that f^('...

    Text Solution

    |

  9. If f(x) is differentiable increasing function, then lim(x to 0) (f(x^(...

    Text Solution

    |

  10. If f(x) is continuos and differentiable function such that f(1/n) = 0 ...

    Text Solution

    |

  11. Let f(x+y) = f(x).f(y), forall, x, y. Suppose f(5) =2, f^(')(0) = 3 th...

    Text Solution

    |

  12. If f(x) = {(x-5,x le1),(4x^(2)-9, 1ltxlt2),(3x+4, x ge2):} then f^(')(...

    Text Solution

    |

  13. If f(2) = 4 and f^(')(2) =1 then lim(x rarr 2) (x f(2)-2f (x))/(x-2)

    Text Solution

    |

  14. If f(x+y) = 2f(x) f(y) for all x,y where f^(')(0) = 3 and f(4) =2, the...

    Text Solution

    |

  15. If x+4|y| = 6y, then y as a function of x is

    Text Solution

    |

  16. If f(x+y)=f(x)f(y) and f(x)=1+"xg(x) G(x)", where lim(xto0)g(x)=a and...

    Text Solution

    |

  17. The function f(x)=x^(3)-3x is :

    Text Solution

    |

  18. Let f(x)=x(x-sqrt(x+1)). Then :

    Text Solution

    |

  19. It is given that f^(')(a) exists, then lim(x rarr a) (x f(a) - a f(x))...

    Text Solution

    |

  20. Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x), where g(x) is continuous. ...

    Text Solution

    |