Differentiation Table

ddxa=0
ddxxa=axa1
ddxex=ex
ddxax=axlna
ddxlnx=1x
ddxlogax=1xlna
ddxsinx=cosx
ddxcosx=sinx
ddxtanx=sec2x
ddxcotx=csc2x
ddxsecx=tanxsecx
ddxcscx=cscxcotx
ddxsin1x=11x2
ddxcos1x=11x2
ddxtan1x=11+x2
ddxcot1x=11+x2
ddxsec1x=1|x|x21
ddxcsc1x=1|x|x21
ddx(f(x)±g(x))=f(x)±g(x)
ddx(af(x))=af(x)
ddx(f(x)g(x))=f(x)g(x)+f(x)g(x)
ddx(f(x)g(x))=f(x)g(x)f(x)g(x)(g(x))2
ddxf1(x)=1f(f1(x))
ddx(f(x)g(x)h(s)ds)=h(f(x))f(x)h(g(x))g(x)

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