常见导函数
$$ (C)'=0\\ (\sin x)' = \cos x\\ (\cos x)' = -\sin x\\ (a^x)'=a^x\ln a\\ (\log _a x)' = \frac{1}{x\ln a}\\ (\ln x)'=\frac{1}{x}\\ (e^x)'=e^x\\ (x^a)'=ax^{a-1} $$
$$ (C)'=0\\ (\sin x)' = \cos x\\ (\cos x)' = -\sin x\\ (a^x)'=a^x\ln a\\ (\log _a x)' = \frac{1}{x\ln a}\\ (\ln x)'=\frac{1}{x}\\ (e^x)'=e^x\\ (x^a)'=ax^{a-1} $$