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explain the steps used to find `dy/dx` using logarithmic...
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Logarithmic differentiation provides a way to differentiate a function possessing complicated exponents by taking logarithms first, and then by employing the logarithmic and other deriving techniques.
Taking log of both sides, note the properties of logarithms such that, `log(u/v)=logu-logv` and `log(u)^v=vlogu`
Differentiate both sides with respect to x, note that both side requires chain rule of differentiation,
Multiplying both sides by y such that y is eliminated from the L.H.S,
Therefore, logarithmic differentiation of the given function yields `dy/dx=11/(9*root(9)((x-5)^8(x+6)^10))`
Posted by llltkl on July 9, 2013 at 2:08 AM (Answer #1)
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