PART 8:對數函數的微分 (03:04)
不是歐拉數為底的對數函數微分技巧只要利用換底公式, \(f(x) = {\log _a}x\) , \(f(x) = {\log _a}x = \frac{{{{\log }_e}x}}{{{{\log }_e}a}} = \frac{{\ln x}}{{\ln a}}\) , \(f'(x) = {\left( {\frac{{\ln x}}{{\ln a}}} \right)^\prime } = \frac{1}{{\ln a}}{\left( {\ln x} \right)^\prime } = \frac{1}{x}\frac{1}{{\ln a}}\)