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anonymous
 4 years ago
Use logarithmic differentiation to find the derivative of the function:
anonymous
 4 years ago
Use logarithmic differentiation to find the derivative of the function:

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0start with \[\ln(y)=\frac{1}{6}(\ln(x^2+1)\ln(x+1)\ln(x1))\] then take the derivative term by term

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\frac{1}{6}\left (\frac{2x}{(x^2+1)}\frac{1}{x+1}\frac{1}{x1}\right )\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0then multiply by the original function and you are done

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Why multiply by the original?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh because you are taking the log as the first step

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\frac{d}{dx}\left[\ln(f(x))\right]=\frac{f'(x)}{f(x)}\iff f'(x)=f(x)\times \frac{d}{dx}\left[\ln(f(x))\right ]\]
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