Mathematics, 09.09.2020 06:01 pedrojsq271
Derivative of R=(100+50/lnx)
Answers: 1
![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](/tpl/images/0746/3712/4bc1d.png)
![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](/tpl/images/0746/3712/9c114.png)
![\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}](/tpl/images/0746/3712/208d9.png)
![\displaystyle R' = \frac{d}{dx}[100] + \frac{d}{dx} \bigg[ \frac{50}{\ln x} \bigg]](/tpl/images/0746/3712/d04b9.png)
Rewrite [Derivative Property - Multiplied Constant]: ![\displaystyle R' = \frac{d}{dx}[100] + 50 \frac{d}{dx} \bigg[ \frac{1}{\ln x} \bigg]](/tpl/images/0746/3712/397b0.png)
Basic Power Rule: ![\displaystyle R' = 50 \frac{d}{dx} \bigg[ \frac{1}{\ln x} \bigg]](/tpl/images/0746/3712/933f8.png)
Derivative Rule [Quotient Rule]: 
Basic Power Rule: 
Logarithmic Differentiation: 
Simplify: 
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Derivative of R=(100+50/lnx)...
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