# arrow_back Using the rules of differentiation, determine the derivative of $f(x)=\frac{x^2+9x+18}{x+3}$

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Using the rules of differentiation, determine  the derivative  of $f(x)=\frac{x^2+9x+18}{x+3}$

## 2 Answers

Best answer
(x+3)(x+6)/x+3 = x+6  factorize numerator then divide by common factor

then differentiate, 1x^(1-1) + 0

=1
by Diamond
(51,622 points)
Best answer
f ' (x) = d/dx (x2 +9x +18 / x +3) = d/dx [ (x +6)(x +3) / x +3) = d/dx (x+6) = 1
by Wooden Status
(1,026 points)

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