Given a function ' g' which has a derivative `g' (x)` for every real x and satisfies `g'(0)=2 and g(x+y)=e^y g(x)+e^y g(y)` for all x and y then:

Given a function ' g' which has a derivative g' (x) for every real x and satisfies g'(0)=2 and g(x+y)=e^y g(x)+e^x g(y) for all x and y then: Find g(x).

If a function g(x) which has derivaties g'(x) for every real x and which satisfies the following equation g(x+y) = e^(y)g(x) + e^(x)g(x) for all x and y and g'(0) = 2, then the value of {g'(x) - g(x)} is equal to

Let f be a function such that f(x+y)=f(x)+f(y)" for all "x and y and f(x) =(2x^(2)+3x) g(x)" for all "x, " where "g(x) is continuous and g(0) = 3. Then find f'(x)

Let f be a function such that f(x+y)=f(x)+f(y)" for all "x and y and f(x) =(2x^(2)+3x) g(x)" for all "x, " where "g(x) is continuous and g(0) = 3. Then find f'(x)

Let f be a function such that f(x+y)=f(x)+f(y) for all x and y and f(x)=(2x^(2)+3x)g(x) for all x, where g(x) is continuous and g(0)=3 . Then find f'(x) .

If g(x) is a polynomial satisfying g(x)g(y)=g(x)+g(y)+g(xy)-2 for all real x and y and g(2)=5 then lim_(x rarr3)g(x) is

Let f be a function such that f(x+y)=f(x)+f(y) for all x and y and f(x)=(2x^2+3x)g(x) for all x , where g(x) is continuous and g(0)=3. Then find f^(prime)(x)dot