求导公式

\(f(x)=c\rightarrow f'(x)=0\)

\(f(x)=x^n\rightarrow f'(x)=nx^{n-1}\)

\(f(x)=a^x\rightarrow f'(x)=a^x\ln a\)

\(f(x)=e^x\rightarrow f'(x)=e^x\)

\(f(x)=\log_a^x\rightarrow f'(x)=\frac{1}{x\ln a}\)

\(f(x)=\ln x\rightarrow f'(x)=\frac{1}{x}\)

\(f(x)=\sin x\rightarrow f'(x)=\cos x\)

\(f(x)=\cos x\rightarrow f'(x)=-\sin x\)

\(f(x)=\tan x\rightarrow f'(x)=\frac{1}{\cos^2 x}\)

\([c\times f(x)]'=c\times f'(x)\)

\([f(x)\pm g(x)]'=f'(x)\pm g'(x)\)

\([f(x)g(x)]'=f'(x)g(x)+f(x)g'(x)\)

\([\frac{f(x)}{g(x)}]'=\frac{f'(x)g(x)-f(x)g'(x)}{g^2(x)}\)

\([f(g(x))]'=f'(g(x))g'(x)\)