Question

find the derivative of x+5/x+2, instead of -3/x+2^2, i got 3/x+2^2

Answer 1

\[(\frac{x+5}{x+2})'=\frac{(x+5)'(x+2)-(x+2)'(x+5)}{(x+2)^2}\]

Answer 2

\[=\frac{(1+0)(x+2)-(1+0)(x+5)}{(x+2)^2}\]
\[=\frac{x+2-(x+5)}{(x+2)^2}\]

Answer 3

\[=\frac{-3}{(x+2)^2}\]

Answer 4

thanks! quick question. in any other problem like this, do you always sub in 1?

Answer 5

derivative of x is 1
i didn't sub in 1
thats just what the derivative of x is