You did not go wrong anywhere. The correct answer is
For further information you can refer to this link:
d/dx (1+sqrt(x))^2/x - Wolfram|Alpha
I'm supposed to differentiate [(sqrt(x))+1]^2/x
I thought this would be fairly straightforward even though I haven't learnt how to differentiate multiplications and divisions of functions.
So I developed [(sqrt(x))+1]^2 to end up with x+2(sqrt(x))+1, which gives me the three terms x/x + 2(sqrt(x))/x + 1/x, which differentiating separately gives me the final result:
-1/x(sqrt(x)) - 1/(x^2)
But this is incorrect apparently, where did I go wrong?
You did not go wrong anywhere. The correct answer is
For further information you can refer to this link:
d/dx (1+sqrt(x))^2/x - Wolfram|Alpha