If f x = x x 2 x 3 1 2 x 3 x 2 0 2 6 x , then the ratio f '' ( x ) : f ' ( x ) =

Step-by-step solution

if f x = f x = x x 2 x 3 1 2 x 3 x 2 0 2 6 x f ' x = 1 2 x 3 x 2 1 2 x 3 x 2 0 2 6 x + x x 2 x 3 0 2 6 x 0 2 6 x + x x 2 x 3 1 2 x 3 x 2 0 0 6 = 0 + 0 + x x 2 x 3 1 2 x 3 x 2 0 0 6 = 6 x 2 f '' x = 12 x f '' ( x ) : f ' ( x ) = 12 x : 6 x 2 = 2 : x