f(x)f(y) +2= f(x) + f(y) +f(xy) . f '(1)=2 &f '(0)=0 find f(x).

If d/dzG(z,t|x) = <N(x,t)> , then d/dzG(z,t|x1)G(z,t|x2) = ?

I have a problem which I can't seem to fathom. I am asked to differentiate ^2 / x with respect to x. I tackled the problem as follows: First I expanded the top term to become . Then I multiplied by x^-1 to get 1 2(sq rt x)^-1 x^-1. When I differentiated, I got -x^-3/2 - x^-2, but the answer...

Hi. I have a problem with an AS Level math question on differentiation. I had to find the inverse of f(x) = 4 - x^2, where x is greater than or equal to 0, which I found to be sq rt (4 - x). However, it then goes on to ask me to show how a solution to f(x) = f^-1(x) can be obtained from x^2 x...