(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)