几种常见函数的导数1

Question

如题所述

Answer 1

a^x'=a^x*ln(a)

x^n'=n*x^(n-1)
sinx'=cosx
tanx'=(1/cosx)^2=(secx)^2=1+(tanx)^2
cotx'=-(1/sinx)^2=-(cscx)^2=-1-cot(x)^2
secx'=sec(x)*tan(x)
cscx'=-csc(x)*cot(x)
loga(x)=1/x/ln(a)
asinx'=1/sqrt(1-x^2)
acosx'=-1/sqrt(1-x^2)
atanx'=1/(1+x^2)
acotx'=-1/(1+x^2)
asinh(x)’=1/sqrt(1+x^2)