Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x).
Answer the following the question based on above passage:
f(x) is given by

Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). Answer the following the question based on above passage: Which of the following is true:?

Let f be a polynomial function such that f(x) f(y) + 2 = f(x) + f(y) + f(xy) AA x,y in R^+ cup {0} and f(x) is one-one AA x,y in R^+ with f(0)=1 and f(1)=2 Answer the following questions based on above passage: The function y=f(x) is given by

Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(1) = 2 Answer the following question based on above passage : f'(3) is equal to

Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(1) = 2 Answer the following question based on above passage : f€ is equal to

Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(1) = 2 Answer the following question based on above passage : f(x) - f(y) is equal to

If f(x) is a polynomial satisfying f(x)f(1//x)=f(x) +f(1//x) and f(3)=28, then f(4) is equal to

Newton-Leinbnitz's formula states that d/dx(int_(phi(x))^(psi(x)) f(t)dt)=f(psi(x)){d/dxpsi(x)}-f(phi(x)){d/dxphi(x)} Answer the following questions based on above passage: Let f(x) be a differentiable function and f(1)=2, If lim_(xrarr1)int_2^(f(x)) (2t)/(x-1)dt=4 , then the value of f'(1) is equal to

If f(x) is a polynomial function satisfying f(x)dotf(1/x)=f(x)+f(1/x) and f(4)=65 ,then find f(6)

Let f(x) be a derivable function satisfying f(x)=int_0^x e^tsin(x-t)dt and g(x)=f''(x)-f(x) Then the possible integers in the range of g(x) is_______

Let f(x) be a derivable function f'(x)gtf(x)" and " f(0)=0 . Then