Let f:R→R be a differentiable function satisfying f(x+y)=f(x)+f(y)+x – InterviewSolution

1.	Let f:R→R be a differentiable function satisfying f(x+y)=f(x)+f(y)+xy for all x,y∈R and limh→01hf(h)=3. If the minimum value of f(x) is k, then the value of \|2k\| is
Answer» Let $f : R \to R$ be a differentiable function satisfying $f (x + y) = f (x) + f (y) + x y$ for all $x, y \in R$ and $lim h \to 0 \frac{1}{h} f (h) = 3.$ If the minimum value of $f (x)$ is $k$ , then the value of $\| 2 k \|$ is

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