Home
Class 12
MATHS
If f : R-{-1}->R and f is differentiabl...

If `f : R-{-1}->R ` and f is differentiable function satisfies ` " f (x+f(y) +x f(y)) = y+f(x)+y.f(x)` for all x,y belongs to` R-{-1}` then find the value of `2010 [ 1 +f(2009)]`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 5 :|2 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

If f:R-{-1}rarr R and f is differentiable function satisfies f(x+f(y)+xf(y))=y+f(x)+y.f(x) for all x,y belongs to R-{-1} then find the value of 2010[1+f(2009)]

If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y)+xf(y))=y+f(x)+yf(x)AAx, yinR-{_1} Find f(x).

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

Let f be a differentiable function satisfying f(x/y)=f(x)-f(y) for all x ,\ y > 0. If f^(prime)(1)=1 then find f(x)dot

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

If f is a function satisfying f(x+y)=f(x)xx f(y) for all x,y in N such that f(1)=3 and sum_(x=1)^(n)f(x)=120 find the value of n

If f(x+f(y))=f(x)+y for all x,y in R and f(1)=1, then find the value of f(10)/5,f(x) is not constant function.