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: Find g(x).

Let g(x) be a function satisfying g(0) = 2, g(1) = 3, g(x+2) = 2g(x+1), then find g(5).

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)

The function f and g are defined as f(x , y) euqals average of x and y and g(x, y) equals the greater of the number x and y. Then f(3,4) + g(3,4) =

Let f :R to R be a continous and differentiable function such that f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2. Let g (xy) =g (x). g (y) AA x, y and g'(1)=2.g (1) ne =0 The number of values of x, where f (x) g(x):

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

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

Let f :R to R be a continous and differentiable function such that f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2. Let g (xy) =g (x). g (y) AA x, y and g'(1)=2.g (1) ne =0 Identify the correct option:

Suppose f and g are functions having second derivatives f' and g' every where, if f(x).g(x)=1 for all x and f'', g'' are never zero then (f''(x))/(f'(x))-(g''(x))/(g'(x)) equals

Let g(x) be a polynomial function satisfying g(x).g(y) = g(x) + g(y) + g(xy) -2 for all x, y in R and g(1) != 1 . If g(3) = 10 then g(5) equals

Let f(x) be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x g(x)"For all "x,y in R , where g(x) is continuous. Then,