求导公式

(f(x)=c ightarrow f'(x)=0)

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

(f(x)=a^x ightarrow f'(x)=a^xln a)

(f(x)=e^x ightarrow f'(x)=e^x)

(f(x)=log_a^x ightarrow f'(x)=frac{1}{xln a})

(f(x)=ln x ightarrow f'(x)=frac{1}{x})

(f(x)=sin x ightarrow f'(x)=cos x)

(f(x)=cos x ightarrow f'(x)=-sin x)

(f(x)= an x ightarrow f'(x)=frac{1}{cos^2 x})

([c imes f(x)]'=c imes 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))