could someone help me with this: if y= 1/(x+1) find y'...
i tried and i got this equation x^2 +2x +1 is it correct???
the chain rule says: $\displaystyle \frac d{dx} f(g(x)) = f'(g(x)) \cdot g'(x)$
basically, to find the derivative of a composite function, differentiate the outer function (leaving the inner function intact) then multiply by the derivative of the inside function
$\displaystyle y = (x + 1)^{-1}$
$\displaystyle \Rightarrow y' = -(x + 1)^{-2}(1) = \frac {-1}{(x + 1)^2}$
as for knowing the derivative is correct, look up the answer in your text ...or check it with integration, but i don't suppose you have started integration as yet