Leg `g(x)=ln(f(x)),` whre `f(x)` is a twice differentiable positive function on `(0,oo)` such that `f(x+1)=xf(x)dot` Then, for `N=1,2,3,.......` `g^n(N+1/2)-g^n(1/2)=`

Let g(x)=ln f(x) where f(x) is a twice differentiable positive function on (0,oo) such that f(x+1)=xf(x). Then for N=1,2,3g'(N+(1)/(2))-g'((1)/(2))=

Let g(x)=logf(x),w h e r ef(x) is a twice differentiable positive function on (0,oo) such that f(x+1)=xf(x)dot Then for n=1,2,3, g^(N+1/2)-g^(1/2) -4{1+1/9+1/(25)++1/((2N-1)^2)} b. 4{1+1/9+1/(25)++1/((2N-1)^2)} c. -4{1+1/9+1/(25)++1/((2N+1)^2)} d. 4{1+1/9+1/(25)++1/((2N+1)^2)}

let f(x)=x^(3)l n(x^(2)(g(x)) , where g(x) is a differentiable positive function on (0,infty) satisfying g(2)=(1)/(4),g^(')(2)=-3 , then f'^(2) is

If f (x) and g (x) are twice differentiable functions on (0,3) satisfying, f ''(x) = g'' (x), f '(1) =4, g '(1) =6,f (2) = 3, g (2)=9, then f (1) -g (1) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

If f(x) and g(x) are two differentiable functions on R^+ such that xf'(x)+g(x)=0 and xg'(x)+f(x)=0 for all x in R^+and f(1)+g(1)=4, then the value of f"(2).g"(2) is