Math formulas and cheat sheets for Common Derivatives

Common Derivatives

Basic Properties of Derivatives

(cf(x))=cf(x)
(f±g)=f±g

Product rule

(fg)=fg+fg

Quotient rule

(fg)=fgfgg2

Chain rule

(f(g(x)))=f(g(x))g(x)

Common Derivatives

ddx(C)=0
ddx(x)=0
ddx(xn)=nxn1
ddx(sinx)=cosx
ddx(cosx)=sinx
ddx(tanx)=1cos2x
ddx(secx)=secxtanx
ddx(cscx)=cscxcotx
ddx(cotx)=1sin2x
ddx(arcsinx)=11x2
ddx(arccosx)=11x2
ddx(arctanx)=11+x2
ddx(ax)=axlna
ddx(ex)=ex
ddx(lnx)=1x,x>0
ddx(ln|x|)=1x,x0
ddx(logax)=1xlna,x>0