Suppose that f is differentiable function with the property `f (x + y) = f (x) + f (y) +x^2y and lim_(x->0) f(x)/x=0`, then find the value of `f' (10)`.

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 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 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 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

Let f(x) be continuous and differentiable function for all reals and f(x + y) = f(x) - 3xy + f(y). If lim_(h to 0)(f(h))/(h) = 7 , then the value of f'(x) is

Let f(x) be continuous and differentiable function for all reals and f(x + y) = f(x) - 3xy + ff(y). If lim_(h to 0)(f(h))/(h) = 7 , then the value of f'(x) is