① C"=0(C為常數函式)② (x^n)"= nx^(n-1) (n∈R)；熟記1/X的導數③ (sinx)" = cosx(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|1)(arsechx)"=1/(x(1-x^2)^1/2)(arcschx)"=1/(x(1+x^2)^1/2)⑤ (e^x)" = e^x(a^x)" = （a^x）lna （ln為自然對數）(Inx)" = 1/x（ln為自然對數）(logax)" =x^(-1) /lna(a>0且a不等於1)(x^1/2)"=[2(x^1/2)]^(-1)(1/x)"=-x^(-2)

要由定義做起：sinh(x)=1/2*(e^x-e^-x)d/dx sinh(x)=1/2*d/dx (e^x-e^-x)=1/2*(e^x+e^-x)=cosh(x)