If `f'(x) = x^2 +5` and `f(0) =-1` then find `f(x)`

If f'(x)=x/2 + 2/x and f(1)=5/4 , then find f(x) .

let f(x) be a polynomial satisfying f(x) : f(1/x) = f(x) + f(1/x) for all X in R :- {O} and f(5) =126, then find f(3).

If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .

If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .

f(x)=x^(2) . Find f^(-1) .

Let f((x+y)/2)=(f(x)+f(y))/2 for all real x and y. If f'(0) exists and equals-1 and f(0)=1, find f(2)

If a function 'f' satisfies the relation f(x)f^('')(x)-f(x)f^(')(x) -f^(')(x)^(2)=0 AA x in R and f(0)=1=f^(')(0) . Then find f(x) .

If f^(prime)(x)=3x^2-2/(x^3) and f(1)=0 , find f(x) .

Let f : W-> W be a given function satisfying f(x) = f(x-1)+f(x-2) for x<=2 .If f(0)=0 and f(1)=1 , ther find the value of f(2) + f(3) + f(4) + f(5) + f(6) .

If 5f(x)+3f(1/x)=x+2 and y=x f(x), then find dy/dx at x=1 .