Derivative of Logarithm Functions

1 . \frac{d}{d x} \ln x = \frac{1}{x}

2 . \frac{d}{d x} \log_{a} x = \frac{1}{x \ln a}

3 . \frac{d}{d x} \ln f (x) = \frac{1}{f (x)} \frac{d}{d x} f (x)

4 . \frac{d}{d x} \log_{a} f (x) = \frac{1}{f (x) \ln a} \frac{d}{d x} f (x)

D i f f e r e n t i a t e g (t) = 4 \log_{3} t - \ln t

g ‘ (t) = \frac{4}{t \ln (3)} - \frac{1}{t}