differentiate this using the quotient rule
Answers: 3
Exponential Rule: 
![\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](/tpl/images/1016/0954/208d9.png)
Simplify: 
Simplify: 
Multiply: 
Factor: ![\frac{dr}{da} = \frac{a^{-\frac{1}{2}}[2a(2a + 2) - (a^2 + 2a + 7)]}{2a}](/tpl/images/1016/0954/b8f9f.png)
[Brackets] Distribute: ![\frac{dr}{da} = \frac{a^{-\frac{1}{2}}[4a^2 + 4a - a^2 - 2a - 7]}{2a}](/tpl/images/1016/0954/fc348.png)
[Brackets] Combine Like Terms: ![\frac{dr}{da} = \frac{a^{-\frac{1}{2}}[3a^2 + 2a - 7]}{2a}](/tpl/images/1016/0954/32958.png)
Simplify: 
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