A function f defined such that for all real x, y
(i) f(x + y) = f(x).f(y)
(ii) f(x) = 1 + x g(x)
where \(\lim _{x \rightarrow 0} g(x) = 1\) what is \(\frac{df(x)}{dx}\) equal to ?
1
g(x)
2
f(x)
3
g'(x)
4
g(x) + xg'(x)
A function f defined such that for all real x, y
(i) f(x + y) = f(x).f(y)
(ii) f(x) = 1 + x g(x)
where \(\lim _{x \rightarrow 0} g(x) = 1\) what is \(\frac{df(x)}{dx}\) equal to ?