Answers: 2
![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](/tpl/images/0463/9954/9c114.png)
![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](/tpl/images/0463/9954/6d8d8.png)
![\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](/tpl/images/0463/9954/208d9.png)
Derivative Rule [Product Rule]:  - (x \ln x)(1 + \ln x)'}{(1 + \ln x)^2}](/tpl/images/0463/9954/e02a3.png)
Logarithmic Differentiation [Derivative Properties]:  - \ln x}{(1 + \ln x)^2}](/tpl/images/0463/9954/e1e89.png)
Basic Power Rule: 
Simplify: 
Rewrite: 
Simplify: 
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