Consider a differentiable function f:R->...

Consider a differentiable function `f:R->R` for which `f'(0)=ln2 and f(x + y) = 2^x f(y) + 4^y f(x) AA x, y in R` which of the following is /are correct?
(a) `f(4)=240`
(b) `f prime (2)=24 ln 2`
(c) The minimum value of `y-f(x)` is `-1/4`
(d) the number of solutions of `f(x)=2` is 1

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