(cosx)' = - sinx
(tanx)'= 1/(cosx)^2=(secx)^2= 1+(tanx)^2
-(cotx)'= 1/(sinx)^2=(cscx)^2= 1+(cotx)^2
(secx)'=tanx secx
(cscx)'=-cotx cscx
(arcsinx)'= 1/( 1-x^2)^ 1/2
(arccosx)'=- 1/( 1-x^2)^ 1/2
(arctanx)'= 1/( 1+x^2)
(arccotx)'=- 1/( 1+x^2)
(arcsecx)'= 1/(|x|(x^2- 1)^ 1/2)
(arccscx)'=- 1/(|x|(x^2- 1)^ 1/2)
④(sinhx)'=coshx
(coshx)'=sinhx
(tanhx)'= 1/(coshx)^2=(sechx)^2
(coth)'=- 1/(sinhx)^2=-(cschx)^2
(sechx)'=-tanhx sechx
(cschx)'=-cothx cschx
(arsinhx)'= 1/(x^2+ 1)^ 1/2
(arcoshx)'= 1/(x^2- 1)^ 1/2
(artanhx)'= 1/(x^2- 1)(| x | & lt; 1)
(arcothx)'= 1/(x^2- 1)(| x | > 1)
(arsechx)'= 1/(x( 1-x^2)^ 1/2)
(arcschx)'= 1/(x( 1+x^2)^ 1/2)