Differentiation of Logarithmic Functions (HSC SSCE Mathematics Advanced): Flashcards

$\frac{1}{x}$

All positive real numbers ($x > 0$)

All real numbers

$x = 1$ or point $(1, 0)$

$1$

$\frac{a}{ax + b}$

$\frac{f'(x)}{f(x)}$

$-\frac{1}{x^2}$

Concave down

Apply log laws to simplify first