Home
Class 12
MATHS
If f(x+y)=f(x)f(y)for all real x,y,f(2)=...

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)`?

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

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

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)?

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(0)=0,f'(0)=2 then what is the derivative of y = f(f(f(f(x)))) at x=0.

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

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

If int_0^1f(1-x)dx=2 ,then what is the value of int_0^(1//2)f(2t)dt

If a function f(x) = (x^2-4)/(x-2) is continuous at x = 2, then what is the value of f (2) ?

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1/2

    Text Solution

    |

  2. Examine the continuity of the following functions at indicated points....

    Text Solution

    |

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

    Text Solution

    |

  4. Find the area of the circle x^2+y^2=2ax.

    Text Solution

    |

  5. intdx/(sqrtx-root(3)(x))(x=t^6)

    Text Solution

    |

  6. Solve dy/dx+y/x=xy^2.

    Text Solution

    |

  7. Evaluate int0^2abs(x^2+2x-3)dx

    Text Solution

    |

  8. Evaluateint-2^2[x^2+3x+2]dx.

    Text Solution

    |

  9. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  10. Find the vector projection of veca=hati-hatj+hatk on vecb=3hati+hatj+3...

    Text Solution

    |

  11. Show that the line passing through the points (a1,b1,c1) and (a2,b2,c2...

    Text Solution

    |

  12. What is the number of line which are equally inclined to the axes?

    Text Solution

    |

  13. Prove that (d)/(dx)[(sin2x+1/(cos^2x)]

    Text Solution

    |

  14. If y=e^x+a^x+x^x, then find dy/dx at x=a

    Text Solution

    |

  15. Show that the semivertical angle of a cone of given slant height is ta...

    Text Solution

    |

  16. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

    Text Solution

    |

  17. If a line in the space makes angles alpha, beta  and gamma  with the c...

    Text Solution

    |

  18. If x,y,z are positive and are the pth, qth and rth terms of a G.P. the...

    Text Solution

    |

  19. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

    Text Solution

    |

  20. Prove that abs((a,b,c),(a^2,b^2,c^2),(bc,ca,ab))=(a-b)(b-c)(c-a)(ab+bc...

    Text Solution

    |