If `f` is a differentiable function satisfying `2f(x)=f(xy)+f((x)/(y)),AA x,y in R^(+), f(1)=0` and `f'(1)=(1)/(ln6),` then `f(7776) = `

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

Let f:R rarr R be a differential function satisfy f(x)=f(x-y)f(y)AA x,y in R and f'(0)=a,f'(2)=b then f'(-2)=

If f is a differentiable function such that f(xy)=f(x)+f(y):x,y in R, then f(e)+f((1)/(e)) is

Let f:R rarr R be a differentiable function satisfying 2f((x+y)/(2))-f(y)=f(x) AA x , y in R ,if f(0)=5 and f'(0)=-1 , then f(1)+f(2)+f(3) equals

If f is a real-valued differentiable function satisfying |f(x)-f(y)|<=(x-y)^(2),x,y in R and f(0)=0 ,then f(1) equals:

If f:R rarr R be a differentiable function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y in R , f(2)=10 , then f(3)=?

If f is a real- valued differentiable function satisfying |f(x) - f(y)| le (x-y)^(2) ,x ,y , in R and f(0) =0 then f(1) equals