Question

导函数与原函数的对照表

Answer 1

问：导函数与原函数的对照表

答：① C'=0(C为常数函数)；② (x^n)'= nx^(n-1) (n∈Q)；③ (sinx)' = cosx；④ (cosx)' = - sinx；⑤ (e^x)' = e^x；⑥ (a^x)' = a^xlna （ln为自然对数）⑦ (Inx)' = 1/x（ln为自然对数）⑧ (logax)' =(xlna)^(-1),(a>0且a不等于1)-1.y=c(c为常数) y'=0 2.y=x^n y'=nx^(n-1)3.y=a^x y'=a^xlnay=e^x y'=e^x4.f(x)=logaX f'(x)=1/xlna (a>0且a不等于1,x>0)y=lnx y'=1/x5.y=sinx y'=cosx6.y=cosx y'=-sinx7.y=tanx y'=1/(cosx)^28.y=cotx y'=-1/(sinx)^29.y=arcsinx y'=1/√1-x^210.y=arccosx y'=-1/√1-x^211.y=arctanx y'=1/(1+x^2)12.y=arccotx y'=-1/(1+x^2)