Home
Class 12
MATHS
Let f be a real valued function satisfyi...

Let f be a real valued function satisfying `f((x)/(y))=f(x)-f(y)` and `overset(lim)(x to 0) (f(1+x))/(x)=3`. Find the area bounded by the curve `y=f(x)`, the Y-axis and the line y=3, where `x,y in R^(+)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) be a real valued function satisfying the relation f(x/y) = f(x) - f(y) and lim_(x rarr 0) f(1+x)/x = 3. The area bounded by the curve y = f(x), y-axis and the line y = 3 is equal to

Let f be a real valued function satisfying f(x+y)=f(x)+f(y) for all x, y in R and f(1)=2 . Then sum_(k=1)^(n)f(k)=

Let f be a real valued function satisfying f (ab) = f (a) + f(b), f' (1) = - 3 find the area bounded by y = f (x) and the coordinate axes.

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 y=f(x) be a real valued function satisfying xdy/dx = x^2 + y-2 , f(1)=1 then f(3) equal

Let a real valued function f satisfy f(x + y) = f(x)f(y)AA x, y in R and f(0)!=0 Then g(x)=f(x)/(1+[f(x)]^2) is

Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . Then , sum_(k=1)^(n) f(k)=

Let be a real function satisfying f(x)+f(y)=f((x+y)/(1-xy)) for all x ,y in R and xy ne1 . Then f(x) is

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

Let f(x) be a differentiable function satisfying f(y)f(x/y)=f(x) AA , x,y in R, y!=0 and f(1)!=0 , f'(1)=3 then