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

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 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 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)

If f is a differentiable function such that f(xy)=f(x)+f(y):x,y in R, then f(e)+f((1)/(e)) is

If f(x) be a differentiable function such that f(x+y)=f(x)+f(y) and f(1)=2 then f'(2) is equal to

Let f:R rarr R be a differential function satisfy f(x)=f(x-y)f(y)AA x,y in R and f'(0)=a,f'(2)=b then f'(-2)=