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

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

If f'(x)=f(x) and f(0)=1 then lim_(x rarr0)(f(x)-1)/(x)=

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(x) be differentiable function such that f((x+y)/(1-xy))=f(x)+f(y)AA x and y, if lim_(x rarr0)(f(x))/(x)=(1)/(3)thenf'(1) equals

If f(x)=(1)/(x), evaluate lim_(h rarr0)(f(x+h)-f(x))/(h)

If f(x) is a differentiable function of x then lim_(h rarr0)(f(x+3h)-f(x-2h))/(h)=

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 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....

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

Let f(x) be a strictly increasing and differentiable function,then lim_(x rarr0)(f(x^(2))-f(x))/(f(x)-f(0))