If `f'(x) = x + 1/x` & f(1) = 5/2 then f(x) = ?

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

If f'(x)=sqrt(x) and f(1)=2 then f(x) is equal to

If Delta = |(f(x),f(1/x)+f(x)), (1,f(1/x))|=0 where it is given f(x) = a + bx^n and f(2) = 17 and f(5) = K then K-620=

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to (a)(f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1)) (f(x)-1)/(a(f(x)+1)) (d) (f(x)+1)/(a(f(x)+1))

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

Let f(x) be a polynomial function: f(x)=x^(5)+ . . . . if f(1)=0 and f(2)=0, then f(x) is divisible by

If f(x)=(x-1)/(x+1) then f(2x) is equal to

If f(x)=(x-1)/(x+1) then f(2x) is equal to

If f(x) = (1 + x)/(1 - x) Prove that ((f(x) f(x^(2)))/(1 + [f(x)]^(2))) = (1)/(2)

If f(1) = 1, f'(1) = 3, then the derivative of f(f(x))) + (f(x))^(2) at x = 1 is