Hàm số \(y = \frac{{x + 3}}{{x + 2}}\) có đạo hàm làA. \(y' = \frac{1}{{{{\left( {x + 2} \right)}^2}}}\). B. \(y' = \frac{5}{{{{\left( {x + 2} \right)}^2}}}\). C. \(y' = \frac{{ - 1}}{{{{\left( {x + 2} \right)}^2}}}\). D. \(y' = \frac{{ - 5}}{{{{\left( {x + 2}...
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Hàm số \(y = \frac{{x + 3}}{{x + 2}}\) có đạo hàm là
A. \(y' = \frac{1}{{{{\left( {x + 2} \right)}^2}}}\).
B. \(y' = \frac{5}{{{{\left( {x + 2} \right)}^2}}}\).
C. \(y' = \frac{{ - 1}}{{{{\left( {x + 2} \right)}^2}}}\).
D. \(y' = \frac{{ - 5}}{{{{\left( {x + 2} \right)}^2}}}\).
\(y=\dfrac{x+3}{x+2}\)
=>\(y'=\dfrac{\left(x+3\right)'\left(x+2\right)-\left(x+3\right)\left(x+2\right)'}{\left(x+2\right)^2}=\dfrac{x+2-x-3}{\left(x+2\right)^2}=\dfrac{-1}{\left(x+2\right)^2}\)
=>C