Home
Class 12
MATHS
Let f(x+y) = f(x). F(y) for all x and y....

Let f(x+y) = f(x). F(y) for all x and y. Suppose f(5) = 2 and f'(0) = 3. Find f'(5).

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x+y)=f(x)dotf(y) for all xa n dydot Suppose f(5)=2a n df^(prime)(0)=3. Find f^(prime)(5)dot

Let f(x+y)=f(x)dotf(y) for all xa n dydot Suppose f(5)=2a n df^(prime)(0)=3. Find f^(prime)(5)dot

Let f(x+y)=f(x)dotf(y) for all xa n dydot Suppose f(5)=2a n df^(prime)(0)=3. Find f^(prime)(5)dot

Let f (x + y) = f(x) f(y) for all x, y, in R , suppose that f(3) = 3 and f '(0) = 2 then f '(3) is equal to-

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

Let f(x) be a differentiable function on x in R such that f(x+y)=f(x). F(y)" for all, "x,y . If f(0) ne 0, f(5)=12 and f'(0)=16 , then f'(5) is equal to

Let f(x + y) = f(x) .f(y) AA x, y in R suppose that f(k) =3, k in R and f'(0) = 11 then find f'(k)

If f(x+y)=f(x) xx f(y) for all x,y in R and f(5)=2, f'(0)=3, then f'(5)=

Let f(x) and g(x) be functions which take integers as arguments. Let f(x + y) =f(x)+ g(y) + 8 for all intege x and y. Let f(x) = x for all negative integers x and let g (8) = 17 . Find f(0).

Let f (x+y)=f(x). f(y) for all x and y f(1)=2 If in a triangle ABC, a =f (3),b=f(1)+f (3), c=f (2)+f (3), then 2A is equal to

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The position vectors of the points Pa n dQ with respect to the orig...

    Text Solution

    |

  2. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

    Text Solution

    |

  3. Let f(x+y) = f(x). F(y) for all x and y. Suppose f(5) = 2 and f'(0) = ...

    Text Solution

    |

  4. intx^(51)(tan^(- 1)x+cot^(- 1)x)dx=

    Text Solution

    |

  5. General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(...

    Text Solution

    |

  6. Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and...

    Text Solution

    |

  7. A bag contains 6 red and 5 blue balls and another bag contains 5 red ...

    Text Solution

    |

  8. Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect ...

    Text Solution

    |

  9. The probability that a married man watches certain TV show is 0.4 and ...

    Text Solution

    |

  10. A ship is fitted with three engines E1,E2 and E3. The engines function...

    Text Solution

    |

  11. The coefficient of x^(301 ub the expansion of (1+x)^(500)+x(1+x)^(499)...

    Text Solution

    |

  12. A function y = f(x) satisfies the differential (dy)/(dx)*sin x -y co...

    Text Solution

    |

  13. The area bounded by x^2+y^2-2x=0a n dy=sinpi/2x in the upper half of t...

    Text Solution

    |

  14. Find the value of a if x^3-3x+a=0 has three distinct real roots.

    Text Solution

    |

  15. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

    Text Solution

    |

  16. Find the shortest distance between the lines (x+2)/(-4) = (y)/(1) = ...

    Text Solution

    |

  17. The equation of the normal to the curve x^2/a^2+y^2/b^2=1 at (acosthet...

    Text Solution

    |

  18. Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5...

    Text Solution

    |

  19. The number of solutions of the equation sin^2x+1=cosxAAx in [0,pi) is ...

    Text Solution

    |

  20. For x, the solution of [x+2]+[x-8]gt0 is ([.] is greatest integer func...

    Text Solution

    |