y=x^n, y'=nx^(n-1)y=a^x, y'=a^xlnay=e^x, y'=e^xy=log(a)x ,y'=1/x lnay=lnx y'=1/xy=sinx y'=cosxy=cosx y'=-sinxy=tanx y'=1/cos²xy=cotanx y'=-1/sin²xy=arcsinx y'=1/√(1-x²)y=arccosx y'=-1/√(1-x²)y=arctanx y'=1/(1+x²)y=arccotanx y'=-1/(1+x²)