Home
Class 12
MATHS
If f(x+y) = f(x) f(y) for all x,y and if...

If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then what is the value of f '(5)?

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos
  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

If f(x+y)=f(x).f(y) forall x,y and f(5)=2 and f'(0)=3, then show that f'(5)=6.

If f(x+y)=f(x)f(y) for all x,yinR and f(5)=4 and f'(0)=2 , then find f'(5)

If f(x) =| x |, what is the value of f(0-)?

If f (x+y)=f(x)f(y) for all real x,y,f(2)=3,f'(0)=1 then what is the value of f'(2) ?

If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

If f(x) = (3x+2)^100 and f ' (x) = n(3x+2)^99 then what is the value of n ?

If f(x)=int(dx)/((1+x^2)^ (3/2) and f(0)=0 then what is the value of f(1)?

If f(x)=x ^(3) + e ^(x/2) and g(x) = f(x)' then what is the value of g'(1)' ?

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. If f(x) = a |sinx| + b.e^(|x|) + c |x|^3 and f(x) is differentiable at...

    Text Solution

    |

  2. What is the value ofthe derivative of f(x)=|x-1|+|x-3| at x=2?

    Text Solution

    |

  3. If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then w...

    Text Solution

    |

  4. Write the derivative of e^(3 logx) "w.r.t.x"^(2)

    Text Solution

    |

  5. Differentiate a^(lnx) w.r.t x ^(2).

    Text Solution

    |

  6. If x = int0^y (1/sqrt(1+4t))dt then what is the value of (d^2y)/(dx^...

    Text Solution

    |

  7. If xandy are variables related by the equation x=int0^y(1/(sqrt(1+9u^2...

    Text Solution

    |

  8. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

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

    Text Solution

    |

  10. Differentiate sin^(-1)(cosx)"w.r.t.x"

    Text Solution

    |

  11. Differentiate cos^(-1)(sinx) w.r.t.x.

    Text Solution

    |

  12. What is the derivative of sec^(-1)x w.r.t.x, if xlt-1 ?

    Text Solution

    |

  13. What is the derivative of sin^(-1)(3x-4x^(3)) w.r.t sin^(-1)x ?

    Text Solution

    |

  14. What is the derivative of sin^(-1)((2x)/(1+x^2)) w.r.t tan^(-1)((2x)/(...

    Text Solution

    |

  15. Find d/(dx)cot^(-1) tan(pi/2-x).

    Text Solution

    |

  16. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

    Text Solution

    |

  17. What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...

    Text Solution

    |

  18. If f(x)=|logx| then for x!=1, then what is f'(x)?

    Text Solution

    |

  19. What is the derivative of tan ^(-1)(cos sqrt(x)).

    Text Solution

    |

  20. If y=cot^(-1)(sqrt(1+x^2)/x) then (dy)/(dx)=?

    Text Solution

    |