HSC Extension 1 and 2 Mathematics/Exponential and logarithmic functions
Index laws edit
Failed to parse (syntax error): {\displaystyle a^x × a^y = a^[(x+y)]} Failed to parse (syntax error): {\displaystyle a^x ÷ a^y = a^[(x-y)]}
Zero and negative indices edit
Rational indices edit
Exponential and logarithmic functions edit
Logarithms edit
Formula for converting one base to another edit
Derivative of exponential functions edit
Evaluation of e edit
Natural logarithms edit
Derivative of ekx, k a constant edit
Derivative of logex edit
Derivative of loge(ax), a > 0 edit
Derivative of loge(ax+b) edit
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "http://localhost:6011/en.wikibooks.org/v1/":): {\displaystyle \frac{d}{dx}log_e(ax + b) = \frac{a}{ax + b}}