Find the derivative of \( f \), where \( f \) is given by \[ f(x)=\fra

1.	Find the derivative of \( f \), where \( f \) is given by \[ f(x)=\frac{x+9}{x+2} \text {. } \]
Answer» f = \(\frac{x+9}{x+2}\) f¹ = \(\cfrac{(x+2)\frac{d}{dx}(x+9)-(x+9)\frac{d}{dx}(x+2)}{(x+2)^2}\) = \(\frac{(x+2)-(x+9)}{(x+2)^2}\) = \(\frac{2-9}{(x+2)^2}\) = \(\frac{-7}{(x+2)^2}\)

Find the derivative of \( f \), where \( f \) is given by \[ f(x)=\frac{x+9}{x+2} \text {. } \]

Answer»

f = \(\frac{x+9}{x+2}\)

f¹ = \(\cfrac{(x+2)\frac{d}{dx}(x+9)-(x+9)\frac{d}{dx}(x+2)}{(x+2)^2}\)

= \(\frac{(x+2)-(x+9)}{(x+2)^2}\) = \(\frac{2-9}{(x+2)^2}\) = \(\frac{-7}{(x+2)^2}\)

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Find the derivative of \( f \), where \( f \) is given by \[ f(x)=\frac{x+9}{x+2} \text {. } \]

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