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anonymous
 4 years ago
Use logarithmic differentiation to find the derivative of the function: (WolframAlpha didn't work)
anonymous
 4 years ago
Use logarithmic differentiation to find the derivative of the function: (WolframAlpha didn't work)

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TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1what did you get after taking the natural log of both sides?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thats what I'm having trouble with

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1you don't need to repost the problem I can still see it remember all you log rules, in particular these\[\log(\frac a b)=\log a\log b\]\[\log(x^a)=a\log x\]then you will differentiate implicitly, which will allow you to solve for y'. why don't you try it and see how far you get?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1rewriting this as\[y=(\frac{x^2+1}{x^21})^{1/6}\]should make it more clear

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So (x^2+1)(x^21) = 2?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1not quite...\[y=(\frac{x^2+1}{x^21})^{1/6}\]\[\ln y=\ln(\frac{x^2+1}{x^21})^{1/6}=\frac1 6\ln(\frac{x^2+1}{x^21})=\frac1 6[\ln(x^2+1)\ln(x^21)]\]now differentiate both sides implicitly.
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