Let `f:R to R` be a function satisfying `f(x+y)=f(x)+lambdaxy+3x^(2)y^(2)"for all "x,y in R` If f(3)=4 and f(5)=52, then f'(x) is equal to

Let f:R to R be a function given by f(x+y)=f(x)+2y^(2)+"kxy for all "x,y in R If f(1)=2 . Find the value of f(x)

Let f:R rarr R be a function satisfying condition f(x+y^(3))=f(x)+[f(y)]^(3) for all x,y in R If f'(0)>=0, find f(10)

Let f:R to R be a function satisfying f(x+y)=f(x)+f(y)"for all "x,y in R "If "f(x)=x^(3)g(x)"for all "x,yin R , where g(x) is continuous, then f'(x) is equal to

Let f:R to R be a function satisfying f(x+y)=f(x)+f(y)"for all "x,y in R "If "f(x)=x^(3)g(x)"for all "x,yin R , where g(x) is continuous, then f'(x) is equal to

Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) for all x, y in R . If f(2)=9 then f(3) is

Let f be a non-zero continuous function satisfying f(x+y)=f(x)f(y) for all , x,y in R . If f(2)=9 then f(3) is

Let f be a function satisfying f(x+y)=f(x) *f(y) for all x,y, in R. If f (1) =3 then sum_(r=1)^(n) f (r) is equal to