Home
Class 11
MATHS
y = f(x), Where f satisfies the relation...

`y = f(x)`, Where f satisfies the relation `f(x + y) = 2f(x) + xf(y) + ysqrt(f(x)) AA x, y in R` and `f'(0) = 0`. Then `f(6)` is equal to ………

Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)|133 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(LINKED COMPREHENSION TYPE QUESTIONS)|11 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If f(x) satisfies the relation f(x+ y) = f ( x) + f( y ) for all x, y in R and f(1) = 5 then

If satisfies the relation f(x+y)+f(x-y)=2 " " f(x).f(y) AA x , y in R and f(0) != 0 , then f(10)-f(-10)=

If the functions f satisfies the relation f(x+ y ) +f( x-y) = 2f ( x) f(y) AA x, yin R and f (0) ne 0 , then

If f(x + y) = f(x) f(y) AA x, y and f(5) = 2, f'(0) = 3 then f'(5) =

f(x - y), f(x) f(y), f(x + y) are in A.P. AA x, y and f(0) != 0 then

If f(x+y) =f(xy) AA x, y in R and if f(2008) = 2008 then find the value of f(2009).

The function f satisfies the relation f(x) . F'(-x) = f(-x)f'(x) AA x & f(0) = 3 . Now if f(3) = 3 then f(-3) =

The period of the function satisfying the relation f(x) + f(x+ 3) = 0, AA x in R is

If f : R to R is continuous such that f(x + y) = f(x) + f(y) x in R , y in R and f(1) = 2 then f(100) =

If f ((x + 2y)/(3)) = (f (x) + 2f (y))/( 3) AA x, y in R and f '(0) = 1, f (0) = 2, then find f (x).