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d/dx[cu]
cu’
d/dx[uv]
uv’+u’v
d/dx[c]
0
d/dx[x]
1
d/dx[ln(u)]
u’/u
d/dx[loga(u)]
u’/uln(a)
d/dx[sin(u)]
cos(u)u’
d/dx[tan(u)]
sec²(u)u’
d/dx[sec(u)]
sec(u)tan(u)u’
d/dx[u±v]
u’±v’
d/dx[u/v]
(v’u-u’v)/v²
d/dx[u^n]
nu^(n-1)u’
d/dx[e^u]
(e^u)u’
d/dx[a^u]
(a^u)(u’)ln(a)
d/dx[cos(u)]
-sin(u)u’
d/dx[cot(u)]
-csc²(u)u’
d/dx[csc(u)]
-csc(u)cot(u)u’
d/dx[arcsin(u)]
u’/√(1-u²)
d/dx[arccos(u)]
-u’/√(1-u²)
d/dx[arctan(u)]
u’/(u²+1)
d/dx[arccot(u)]
-u’/(u²+1)
d/dx[arcsec(u)]
u’/(|u|√(u²-1))
d/dx[arccsc(u)]
-u’/(|u|√(u²-1))