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Section 3.6 : Derivatives of Exponential and Logarithm Functions

2. Differentiate \(g\left( t \right) = 4{\log _3}\left( t \right) - \ln \left( t \right)\) .

Show Solution

Not much to do here other than take the derivative using the formulas from class.

\[\require{bbox} \bbox[2pt,border:1px solid black]{{g'\left( t \right) = \frac{4}{{t\ln \left( 3 \right)}} - \frac{1}{t}}}\]