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

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 real x and f(x+y)=f(x)-xy+f(y) if lim_(h rarr0)(f(h))/(h)=2 then f(5)-f(3) is

If f(x) is a differentiable function for all x gt 0 and lim_(y to x)(y^(2)f(x)-x^(2)f(y))/(y-x)=2 , then the value of f'(x) 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)

Let f : R rarr R be a differentiable function satisfying f(x+y)=f(x) + f(y) +x^2y+xy^2 for all real number x and y . If lim_(x rarr 0)(f(x))/x = 1 , then The value of f'(3) is

Let f : R rarr R be a differentiable function satisfying f(x+y)=f(x) + f(y) +x^2y+xy^2 for all real number x and y . If lim_(x rarr 0)(f(x))/x = 1 , then The value of f(9) is

If f(x) be a differentiable function for all positive numbers such that f(x.y)=f(x)+f(y) and f(e)=1 then lim_(x rarr0)(f(x+1))/(2x)

Let f: R rarr R be a differentiable function satisfying f(x+y)=f(x)+f(y)+x^(2)y+xy^(2) for all real numbers x and y. If lim_(xrarr0) (f(x))/(x)=1, then The value of f'(3) is