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d/dx[uv]=
uv’+vu’
d/dx[secx]=
secx*tanx
d/dx[sinx]=
cosx
d/dx[b^x]=
b^x * lnb
d/dx[f(g(x))]=
f’(g)*g’
d/dx[tan]=
sec²x
d/dx[cscx]=
-cscx*cotx
d/dx[cotx]=
-csc²x
d/dx[cosx]=
-sinx
d/dx[lnx]
1/x
d/dx[e^x]=
e^x
d/dx[logbx]=
1/logb * (1/x)
d/dx[arcsinx]=
1/sqrt1-x²

d/dx[arccosx]=
-1/sqrt1-x²

d/dx[arctanx]=
1/1+x²

d/dx[u/v]=
(v’u-uv’)/(v)²
d/dx[arccot]=
-1/1+x²

d/dx[arcsec]=
1/|x|sqrtx²-1

d/dx[arccsc]=
-1/|x|sqrtx²-1
