If `f : R- gtR` is continuous such that `f(x + y) =f(x). f(y) AA x, y in R and f(1)=2,` then `

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Let `f:R- gtR` be a function such that `f(x+y)=f(x)+f(y),AA x, y in R.`Let `f:R- gtR` be a function such that `f(x+y)=f(x)+f(y),AA x, y in R.`
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Let `f(x+y)=f(x)+f(y)` and `f(x)=x^2g(x)AA x,y in R` where `g(x)` is continuous then `fLet `f(x+y)=f(x)+f(y)` and `f(x)=x^2g(x)AA x,y in R` where `g(x)` is continuous then `f'(x)` is...