Suppose that `f` is differentiable function with the property `f (x + y) = f (x) + f (y) + x^2y^2` and `lim_(x->0) f(x)/x= 100` then `f '(x)` is equal to

Suppose that f is differentiable function with the property f(x+y)=f(x)+f(y) and lim_(x rarr0)(f(x))/(x)=100 ,then f'(2) is equal to N ,then the sum of digits of N is....

Suppose that fis differentiable function with the proporty f(x+y)=f(x)+f(y)+x^(2)y and lim_(x rarr0)(f(x))/(x)=0 ,then find the value of f'(10)

Suppose that f is a differentiable function with property that f(x+y)=f(x)+f(y)+xy and f^(1)(0)=3 then f(4)-f(2)

Suppose that f is a differentiable function with the property that f(x+y)=f(x)+f(y)+xy and lim_(h rarr0)(1)/(h)f(h)=3, where [.] represents greatest integer function,then

Given that f(x) is a differentiable function of x and that f(x) ,f(y) = f(x) + f(y) +f(xy) -2 and that f(1)=2 , f(2) = 5 Then f(3) is equal to

Let f(x+y)=f(x)+f(y)+x^2y+y^2x and lim_(x rarr 0)(f(x))/x=1 . Find f'(3) .