If `(y^(2)-6y+3)(x^(2)+x+1)lt2x AA x in R,` then sum of all integral values of `y` is

If (y^(2)-5 y)(x^(2)+2 x+4) lt 2 , for all x in R , then number of integers in the range of y is

If (y^(2)-5y+3)(x^(2)+x+1)<2x for all x in R, then fin the interval in which y lies.

If the inequality x^(2)+y^(2)+xy+1>=h(x+y) holds for all real x and y, then the sum of all possible integral values of h is

If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then fin the interval in which y lies.

If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then find the interval in which y lies.

If y^(2)(x+1)-(3x^(2)+3x+2)y+6x=0 then sum of all possible value of lim_(x rarr oo)(dy)/(dx) is

f:R rarr R be a function,satisfying f((x-y)^(2))=(f(x))^(2)-2xf(y)+y^(2)AA x,y in R Answer the following A possible value of f(2017)

Consider a differentiable f:R to R for which f(1)=2 and f(x+y)=2^(x)f(y)+4^(y)f(x) AA x , y in R. The minimum value of f(x) is