Originally Posted by
skeske1234 find the derivative dy/dx
a) y=(x+1)/(x-1)
y'=1(x-1)^-1
...??
use the quotient rule
b) y=3/(x+2)
y'=3(x+2)^-1
...?
correction ... $\displaystyle \textcolor{red}{y = 3(x+2)^{-1}}$ , it's not y' yet ... you still need to use the power rule and take the derivative.
c) y=sqrt(3x+2)
y'=(3x+2)^(0.5)
...?
no ... $\displaystyle \textcolor{red}{y = (3x+2)^{\frac{1}{2}}}$ , it's not y' yet ... use the chain rule.