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au
a(du/dx)
u^a
au^(a-1)(du/dx)
u+v
(d/dx)u+(d/dx)v
u-v
(d/dx)u-(d/dx)v
uv
u(dv/dx)+v(du/dx)
u/v
(v(du/dx)-u(dv/dx))/v²
sin(u)
cos(u)(du/dx)
cos(u)
-sin(u)(du/dx)
tan(u)
sec²(u)(du/dx)
cot(u)
-csc²(u)(du/dx)
sec(u)
sec(u)tan(u)(du/dx)
csc(u)
-csc(u)cot(u)(du/dx)
ln(u)
(1/u)(du/dx)
e^u
e^u(du/dx)
a^u
a^u(ln(a))(du/dx)
arcsin(u)
1/(sqrt(1-u²))(du/dx)
arccos(u)
-1/(sqrt(1-u²))(du/dx)
arctan(u)
1/(1+u²)(du/dx)
arccot(u)
-1/(1+u²)(du/dx)
arcsec(u)
1/(|u|(sqrt(u²-1))(du/dx)
arccsc(u)
-1/(|u|(sqrt(u²-1))(du/dx)
Note
Flashcard